Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
95801	Find the Axis of Symmetry	f(x)=-x^2+4x-14	$f (x) = - x^{2} + 4 x - 14$
95802	Simplify	(2x^(1/3)+3)(2x^(1/3)-3)	$(2 x^{\frac{1}{3}} + 3) (2 x^{\frac{1}{3}} - 3)$
95803	Simplify	2g^4-3g+9+(-g^3+12g)	$2 g^{4} - 3 g + 9 + (- g^{3} + 12 g)$
95804	Simplify	(2p^2+7q)(2p^2-7q)	$(2 p^{2} + 7 q) (2 p^{2} - 7 q)$
95805	Simplify	2x^2+3x-4+(x^2-x-2)	$2 x^{2} + 3 x - 4 + (x^{2} - x - 2)$
95806	Find the Axis of Symmetry	f(x)=-(x-3)^2-1	$f (x) = - {(x - 3)}^{2} - 1$
95807	Simplify	(2x^2+4x-3)(3x+1)	$(2 x^{2} + 4 x - 3) (3 x + 1)$
95808	Find the Axis of Symmetry	g(x)=5(x-2)^2+4	$g (x) = 5 {(x - 2)}^{2} + 4$
95809	Simplify	(2x^2-5x+3)-(-x^2+4x-5)	$(2 x^{2} - 5 x + 3) - (- x^{2} + 4 x - 5)$
95810	Find the Axis of Symmetry	(x-3)^2+5	${(x - 3)}^{2} + 5$
95811	Simplify	(2x^5)(3x^12)	$(2 x^{5}) (3 x^{12})$
95812	Simplify	(-2+3i)(4-2i)	$(- 2 + 3 i) (4 - 2 i)$
95813	Simplify	(2+3i)(5-4i)	$(2 + 3 i) (5 - 4 i)$
95814	Find the Axis of Symmetry	f(x)=2x^2+8x-3	$f (x) = 2 x^{2} + 8 x - 3$
95815	Simplify	(2-4i)(2+4i)	$(2 - 4 i) (2 + 4 i)$
95816	Find the Axis of Symmetry	f(x)=x^2-6x+1	$f (x) = x^{2} - 6 x + 1$
95817	Find the Axis of Symmetry	f(x)=-x^2-8x-15	$f (x) = - x^{2} - 8 x - 15$
95818	Simplify	(2-2i)-(3+4i)	$(2 - 2 i) - (3 + 4 i)$
95819	Find the Axis of Symmetry	g(x)=3x^2+4	$g (x) = 3 x^{2} + 4$
95820	Simplify	(2+i)-(4-6i)(-3+3i)	$(2 + i) - (4 - 6 i) (- 3 + 3 i)$
95821	Find the Axis of Symmetry	f(x)=2x^2-10x+4	$f (x) = 2 x^{2} - 10 x + 4$
95822	Simplify	(2x+3)(x-7)	$(2 x + 3) (x - 7)$
95823	Find the Axis of Symmetry	f(x)=-1/2x^2-7x-47/2	$f (x) = - \frac{1}{2} x^{2} - 7 x - \frac{47}{2}$
95824	Simplify	(2x+1)(3x+4)	$(2 x + 1) (3 x + 4)$
95825	Solve over the Interval	cos(x)=10<=x<2pi	$\cos (x) = 10 \leq x < 2 π$
95826	Simplify	(2x)-( square root of x-1)	$(2 x) - (\sqrt{x} - 1)$
95827	Simplify	(2w+1)(w^2-3w+5)	$(2 w + 1) (w^{2} - 3 w + 5)$
95828	Simplify	(2i)(1-4i)(1+i)	$(2 i) (1 - 4 i) (1 + i)$
95829	Simplify	(2h+6)(5h-3)	$(2 h + 6) (5 h - 3)$
95830	Simplify	(2r+5)(2r-5)	$(2 r + 5) (2 r - 5)$
95831	Simplify	(2t-7)(t-5)	$(2 t - 7) (t - 5)$
95832	Simplify	(4a+5)(4a-5)	$(4 a + 5) (4 a - 5)$
95833	Simplify	(-4-7i)(-4+7i)	$(- 4 - 7 i) (- 4 + 7 i)$
95834	Simplify	(4-7i)(4+7i)	$(4 - 7 i) (4 + 7 i)$
95835	Simplify	(4a+3b)(5a-6b)	$(4 a + 3 b) (5 a - 6 b)$
95836	Simplify	(4-2i)(1-2i)	$(4 - 2 i) (1 - 2 i)$
95837	Simplify	(4+5i)-2(1-3i)	$(4 + 5 i) - 2 (1 - 3 i)$
95838	Simplify	(4+3i)(1-2i)	$(4 + 3 i) (1 - 2 i)$
95839	Find Reduced Row Echelon Form	[[1,1,1,25],[7000,14000,28000,406000]]	$[\begin{array}{c} 1 & 1 & 1 & 25 \\ 7000 & 14000 & 28000 & 406000 \end{array}]$
95840	Simplify	4+3x+x^2+(6-9x+x^2)	$4 + 3 x + x^{2} + (6 - 9 x + x^{2})$
95841	Find Reduced Row Echelon Form	[[2,-4,\|9\|],[3,-7,\|-9\|]]	$[\begin{array}{c} 2 & - 4 & \| 9 \| \\ 3 & - 7 & \| - 9 \| \end{array}]$
95842	Simplify	(4x+1/4)(4x-1/4)	$(4 x + \frac{1}{4}) (4 x - \frac{1}{4})$
95843	Simplify	(4x+1)(2x+6)	$(4 x + 1) (2 x + 6)$
95844	Find Reduced Row Echelon Form	[[1,0,0,5],[0,2,0,8],[0,0,3,9]]	$[\begin{array}{c} 1 & 0 & 0 & 5 \\ 0 & 2 & 0 & 8 \\ 0 & 0 & 3 & 9 \end{array}]$
95845	Simplify	(4h-2)(4h-1)	$(4 h - 2) (4 h - 1)$
95846	Simplify	(4x+3)(2x-1)	$(4 x + 3) (2 x - 1)$
95847	Simplify	(4x+9)(4x-9)	$(4 x + 9) (4 x - 9)$
95848	Find Reduced Row Echelon Form	[[8,5,38],[3,2,14]]	$[\begin{array}{c} 8 & 5 & 38 \\ 3 & 2 & 14 \end{array}]$
95849	Simplify	(4x+y)(4x-y)	$(4 x + y) (4 x - y)$
95850	Simplify	(4x-2)(4x+2)	$(4 x - 2) (4 x + 2)$
95851	Simplify	(4x-7)(2x-5)	$(4 x - 7) (2 x - 5)$
95852	Simplify	(5p^3q^2)(2p^4q)^2	$(5 p^{3} q^{2}) {(2 p^{4} q)}^{2}$
95853	Simplify	(5x^3-x+14)-(3x^2-9x+4)	$(5 x^{3} - x + 14) - (3 x^{2} - 9 x + 4)$
95854	Simplify	(5+2i)-(3-8i)	$(5 + 2 i) - (3 - 8 i)$
95855	Simplify	(5x^2y^3)(3x^2y^5)^4	$(5 x^{2} y^{3}) {(3 x^{2} y^{5})}^{4}$
95856	Simplify	(5+5i)(4+i)	$(5 + 5 i) (4 + i)$
95857	Simplify	5-3i+(4-8i)	$5 - 3 i + (4 - 8 i)$
95858	Find the Quadratic Constant of Variation	y=0.00125x^2	$y = 0.00125 x^{2}$
95859	Solve the Matrix Equation	[[9,5],[7,3]]X=[[-4],[-5]]	$[\begin{array}{c} 9 & 5 \\ 7 & 3 \end{array}] X = [\begin{array}{c} - 4 \\ - 5 \end{array}]$
95860	Simplify	(5-8i)(5+8i)	$(5 - 8 i) (5 + 8 i)$
95861	Simplify	(5w+6)(5w-6)	$(5 w + 6) (5 w - 6)$
95862	Solve the Matrix Equation	[[-5-t,0],[8,-22]]=[[-5,0],[8,-4y-2]]	$[\begin{array}{c} - 5 - t & 0 \\ 8 & - 22 \end{array}] = [\begin{array}{c} - 5 & 0 \\ 8 & - 4 y - 2 \end{array}]$
95863	Simplify	(5p-2)(-3)	$(5 p - 2) (- 3)$
95864	Solve the Matrix Equation	a+[[-5,9,-8,8]]=[[-3,-2,-16,16]]	$a + [\begin{array}{c} - 5 & 9 & - 8 & 8 \end{array}] = [\begin{array}{c} - 3 & - 2 & - 16 & 16 \end{array}]$
95865	Simplify	(5n-7)(2n+3)+(4n-6)(5n+4)	$(5 n - 7) (2 n + 3) + (4 n - 6) (5 n + 4)$
95866	Solve the Matrix Equation	[[3g,h^2],[4,-2f]]=[[-12,81],[4,3f]]	$[\begin{array}{c} 3 g & h^{2} \\ 4 & - 2 f \end{array}] = [\begin{array}{c} - 12 & 81 \\ 4 & 3 f \end{array}]$
95867	Simplify	(5t-1)(3t-2)	$(5 t - 1) (3 t - 2)$
95868	Simplify	(5x+4)(9x+9)	$(5 x + 4) (9 x + 9)$
95869	Simplify	(5x+1/5)(5x-1/5)	$(5 x + \frac{1}{5}) (5 x - \frac{1}{5})$
95870	Solve the Matrix Equation	[[10,5],[16,10.5]]=[[4x-6,8-10x],[4x,15t+1.5t]]	$[\begin{array}{c} 10 & 5 \\ 16 & 10.5 \end{array}] = [\begin{array}{c} 4 x - 6 & 8 - 10 x \\ 4 x & 15 t + 1.5 t \end{array}]$
95871	Simplify	(5x-5)(5x-5)	$(5 x - 5) (5 x - 5)$
95872	Solve the Matrix Equation	[[7,-2,5],[11,0,-4]]+x=[[6,-2,13],[8,5,-4]]	$[\begin{array}{c} 7 & - 2 & 5 \\ 11 & 0 & - 4 \end{array}] + x = [\begin{array}{c} 6 & - 2 & 13 \\ 8 & 5 & - 4 \end{array}]$
95873	Simplify	(5x-3y)(5x+3y)	$(5 x - 3 y) (5 x + 3 y)$
95874	Solve the Matrix Equation	c=[[12,-20],[36,-52]]	$c = [\begin{array}{c} 12 & - 20 \\ 36 & - 52 \end{array}]$
95875	Simplify	(5x-8)(7x-3)	$(5 x - 8) (7 x - 3)$
95876	Simplify	(5x+6)(4x-1)	$(5 x + 6) (4 x - 1)$
95877	Solve the Matrix Equation	[[12,-13],[17,-22]][[X],[Y]]=[[7],[-51]]	$[\begin{array}{c} 12 & - 13 \\ 17 & - 22 \end{array}] [\begin{array}{c} X \\ Y \end{array}] = [\begin{array}{c} 7 \\ - 51 \end{array}]$
95878	Simplify	(6-8i)(9+2i)	$(6 - 8 i) (9 + 2 i)$
95879	Solve the Matrix Equation	1/7x-[[1,2],[7,-1]]=[[3,-2],[-5,4]]	$\frac{1}{7} x - [\begin{array}{c} 1 & 2 \\ 7 & - 1 \end{array}] = [\begin{array}{c} 3 & - 2 \\ - 5 & 4 \end{array}]$
95880	Simplify	(6+x)(6-x)	$(6 + x) (6 - x)$
95881	Solve the Matrix Equation	[[1,4,2],[0,6,3],[2,7,1]][[x],[y],[z]]=[[2],[-3],[-3]]	$[\begin{array}{c} 1 & 4 & 2 \\ 0 & 6 & 3 \\ 2 & 7 & 1 \end{array}] [\begin{array}{c} x \\ y \\ z \end{array}] = [\begin{array}{c} 2 \\ - 3 \\ - 3 \end{array}]$
95882	Simplify	(6+2i)-(4+3i)	$(6 + 2 i) - (4 + 3 i)$
95883	Solve the Matrix Equation	[[4,5],[8,7.5]]=[[2x-4,6-10x],[2x,15t+1.5t]]	$[\begin{array}{c} 4 & 5 \\ 8 & 7.5 \end{array}] = [\begin{array}{c} 2 x - 4 & 6 - 10 x \\ 2 x & 15 t + 1.5 t \end{array}]$
95884	Simplify	(6+2i)-(4-8i)	$(6 + 2 i) - (4 - 8 i)$
95885	Solve the Matrix Equation	A=[[27,-9],[-15,24]]	$A = [\begin{array}{c} 27 & - 9 \\ - 15 & 24 \end{array}]$
95886	Simplify	(3x^2)(8x^5)	$(3 x^{2}) (8 x^{5})$
95887	Solve the Matrix Equation	x-2[[2,-8],[-4,2]]=[[4,-6],[2,-8]]	$x - 2 [\begin{array}{c} 2 & - 8 \\ - 4 & 2 \end{array}] = [\begin{array}{c} 4 & - 6 \\ 2 & - 8 \end{array}]$
95888	Simplify	(-3j^2k^4)(2jk^6)	$(- 3 j^{2} k^{4}) (2 j k^{6})$
95889	Simplify	(2x-3)(3x+2)	$(2 x - 3) (3 x + 2)$
95890	Solve the Matrix Equation	[[2,5],[1,3]]x=[[0],[2]]	$[\begin{array}{c} 2 & 5 \\ 1 & 3 \end{array}] x = [\begin{array}{c} 0 \\ 2 \end{array}]$
95891	Simplify	(2x-4)(2x-4)	$(2 x - 4) (2 x - 4)$
95892	Simplify	(2x+7)(x-5)	$(2 x + 7) (x - 5)$
95893	Solve the Matrix Equation	[[2,20,-4],[10,-6,8],[2,0,3]][[x],[y],[z]]=[[40],[16],[7]]	$[\begin{array}{c} 2 & 20 & - 4 \\ 10 & - 6 & 8 \\ 2 & 0 & 3 \end{array}] [\begin{array}{c} x \\ y \\ z \end{array}] = [\begin{array}{c} 40 \\ 16 \\ 7 \end{array}]$
95894	Simplify	(2x+5y)(3x^2-4xy+2y^2)	$(2 x + 5 y) (3 x^{2} - 4 x y + 2 y^{2})$
95895	Solve the Matrix Equation	[[2,5],[1,3]]x=[[-2],[0]]	$[\begin{array}{c} 2 & 5 \\ 1 & 3 \end{array}] x = [\begin{array}{c} - 2 \\ 0 \end{array}]$
95896	Solve the Matrix Equation	1/2X=[[6,-12],[4,8]]	$\frac{1}{2} X = [\begin{array}{c} 6 & - 12 \\ 4 & 8 \end{array}]$
95897	Solve the Matrix Equation	[[1,2,0],[2,5,7],[3,-3,-1]]*[[2,0,5],[-2,2,0],[3,1,5]]=[[a_11,4,5],[15,a_22,45],[9,-7,a_33]]	$[\begin{array}{c} 1 & 2 & 0 \\ 2 & 5 & 7 \\ 3 & - 3 & - 1 \end{array}] \cdot [\begin{array}{c} 2 & 0 & 5 \\ - 2 & 2 & 0 \\ 3 & 1 & 5 \end{array}] = [\begin{array}{c} a_{11} & 4 & 5 \\ 15 & a_{22} & 45 \\ 9 & - 7 & a_{33} \end{array}]$
95898	Simplify	(2x-1)(4x^2+2x+1)	$(2 x - 1) (4 x^{2} + 2 x + 1)$
95899	Solve the Matrix Equation	-x+3[[2,-8],[-4,2]]=[[4,-6],[2,-8]]	$- x + 3 [\begin{array}{c} 2 & - 8 \\ - 4 & 2 \end{array}] = [\begin{array}{c} 4 & - 6 \\ 2 & - 8 \end{array}]$
95900	Simplify	(2x+a)(3x^2+b)	$(2 x + a) (3 x^{2} + b)$