Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
95901	Solve the Matrix Equation	[[-1,-2],[4,8]]+X=[[-5,-1],[2,1]]	$[\begin{array}{c} - 1 & - 2 \\ 4 & 8 \end{array}] + X = [\begin{array}{c} - 5 & - 1 \\ 2 & 1 \end{array}]$
95902	Solve the Matrix Equation	x+[[-12,15],[15,6]]=[[2,8],[1,3]]	$x + [\begin{array}{c} - 12 & 15 \\ 15 & 6 \end{array}] = [\begin{array}{c} 2 & 8 \\ 1 & 3 \end{array}]$
95903	Simplify	(2x-1)(x+1)	$(2 x - 1) (x + 1)$
95904	Solve the Matrix Equation	[[x],[4]]=[[-1],[y]]	$[\begin{array}{c} x \\ 4 \end{array}] = [\begin{array}{c} - 1 \\ y \end{array}]$
95905	Simplify	(2x-1)(x+6)	$(2 x - 1) (x + 6)$
95906	Solve the Matrix Equation	[[3,4,7],[2,5,1],[8,2,5]]-x=[[2,6,8],[3,9,3],[2,5,1]]	$[\begin{array}{c} 3 & 4 & 7 \\ 2 & 5 & 1 \\ 8 & 2 & 5 \end{array}] - x = [\begin{array}{c} 2 & 6 & 8 \\ 3 & 9 & 3 \\ 2 & 5 & 1 \end{array}]$
95907	Simplify	(3+i)(-4+3i)	$(3 + i) (- 4 + 3 i)$
95908	Simplify	(3-2i)(5+i)	$(3 - 2 i) (5 + i)$
95909	Solve the Matrix Equation	[[4a+2],[b+6]]=[[18],[6]]	$[\begin{array}{c} 4 a + 2 \\ b + 6 \end{array}] = [\begin{array}{c} 18 \\ 6 \end{array}]$
95910	Simplify	(3-2x)(3+2x)	$(3 - 2 x) (3 + 2 x)$
95911	Solve the Matrix Equation	x+[[20,10],[-12,3]]=[[23,16],[24,11]]	$x + [\begin{array}{c} 20 & 10 \\ - 12 & 3 \end{array}] = [\begin{array}{c} 23 & 16 \\ 24 & 11 \end{array}]$
95912	Simplify	(3+4i)(2-5i)	$(3 + 4 i) (2 - 5 i)$
95913	Simplify	(3+2i)(-2+4i)	$(3 + 2 i) (- 2 + 4 i)$
95914	Find the Center	x^2+y^2+8x+4y-3=40	$x^{2} + y^{2} + 8 x + 4 y - 3 = 40$
95915	Find the Center	11x^2-2y^2+66x-16y+45=0	$11 x^{2} - 2 y^{2} + 66 x - 16 y + 45 = 0$
95916	Simplify	(4x^3)(2x)^-4	$(4 x^{3}) {(2 x)}^{- 4}$
95917	Simplify	(4x^3+13x-7)-(6x^2+9x+2)	$(4 x^{3} + 13 x - 7) - (6 x^{2} + 9 x + 2)$
95918	Find the Center	x^2+8x+4y^2-40y+112=0	$x^{2} + 8 x + 4 y^{2} - 40 y + 112 = 0$
95919	Find the Center	(x^2)/49-(y^2)/81=1	$\frac{x^{2}}{49} - \frac{y^{2}}{81} = 1$
95920	Simplify	(3x-6)(3x-6)	$(3 x - 6) (3 x - 6)$
95921	Find the Center	9x^2+25y^2-72x+250y+544=0	$9 x^{2} + 25 y^{2} - 72 x + 250 y + 544 = 0$
95922	Simplify	(3x-9)(3x+9)	$(3 x - 9) (3 x + 9)$
95923	Simplify	3a+4b+(6a-6b)	$3 a + 4 b + (6 a - 6 b)$
95924	Find the Center	9x^2+25y^2-18x+150y+9=0	$9 x^{2} + 25 y^{2} - 18 x + 150 y + 9 = 0$
95925	Find the Center	((x-3)^2)/4-((y-1)^2)/9=1	$\frac{{(x - 3)}^{2}}{4} - \frac{{(y - 1)}^{2}}{9} = 1$
95926	Simplify	(3a-2b)(3a+2b)	$(3 a - 2 b) (3 a + 2 b)$
95927	Find the Center	9x^2-y^2=225	$9 x^{2} - y^{2} = 225$
95928	Simplify	( cube root of 24)/( cube root of 3)	$\frac{\sqrt[3]{24}}{\sqrt[3]{3}}$
95929	Find the Center	((x-3)^2)/4+((y+2)^2)/16=1	$\frac{{(x - 3)}^{2}}{4} + \frac{{(y + 2)}^{2}}{16} = 1$
95930	Simplify	(3-i)(3/5+1/5*i)	$(3 - i) (\frac{3}{5} + \frac{1}{5} \cdot i)$
95931	Find the Center	x^2+4y^2+2x-24y+33=0	$x^{2} + 4 y^{2} + 2 x - 24 y + 33 = 0$
95932	Simplify	(3g+2)(3g-2)	$(3 g + 2) (3 g - 2)$
95933	Find the Center	5x^2+9y^2+10x-54y+41	$5 x^{2} + 9 y^{2} + 10 x - 54 y + 41$
95934	Simplify	(3f-2g)-(18g+11f)	$(3 f - 2 g) - (18 g + 11 f)$
95935	Find the Center	x^2+2x+9y^2-36y+1=0	$x^{2} + 2 x + 9 y^{2} - 36 y + 1 = 0$
95936	Simplify	(3-i)-(5+2i)	$(3 - i) - (5 + 2 i)$
95937	Find the Center	4x^2-y^2-24x+2y-1=0	$4 x^{2} - y^{2} - 24 x + 2 y - 1 = 0$
95938	Simplify	(3v+4)(3v-4)	$(3 v + 4) (3 v - 4)$
95939	Simplify	(3p-4)(3p+4)	$(3 p - 4) (3 p + 4)$
95940	Find the Center	8x^2+8y^2-56x+98=0	$8 x^{2} + 8 y^{2} - 56 x + 98 = 0$
95941	Simplify	(3n-4)(4n^2+2n+3)	$(3 n - 4) (4 n^{2} + 2 n + 3)$
95942	Find the Center	(x^2)/81-(y^2)/144=1	$\frac{x^{2}}{81} - \frac{y^{2}}{144} = 1$
95943	Simplify	(3p+2)(5p-7)	$(3 p + 2) (5 p - 7)$
95944	Simplify	(3p+3)(3p+2)	$(3 p + 3) (3 p + 2)$
95945	Simplify	(3x+8)(x-1)	$(3 x + 8) (x - 1)$
95946	Find the Center	4x^2+9y^2-24x+18y+9=0	$4 x^{2} + 9 y^{2} - 24 x + 18 y + 9 = 0$
95947	Find the Center	-4x^2+9y^2+16x-18y+29=0	$- 4 x^{2} + 9 y^{2} + 16 x - 18 y + 29 = 0$
95948	Simplify	(3x-4)(2x-5)	$(3 x - 4) (2 x - 5)$
95949	Find the Center	(y^2)/4+(x^2)/25=1	$\frac{y^{2}}{4} + \frac{x^{2}}{25} = 1$
95950	Simplify	(3x-4)(x+1)	$(3 x - 4) (x + 1)$
95951	Simplify	(3x-2)(2x+6)	$(3 x - 2) (2 x + 6)$
95952	Simplify	(3x-3)(3x-3)	$(3 x - 3) (3 x - 3)$
95953	Simplify	(3x+4)(5x-2)	$(3 x + 4) (5 x - 2)$
95954	Find the Center	16x^2+25y^2-32x+200y+16=0	$16 x^{2} + 25 y^{2} - 32 x + 200 y + 16 = 0$
95955	Simplify	(3x+2)(x-4)	$(3 x + 2) (x - 4)$
95956	Find the Center	((x-1)^2)/25+((y-1)^2)/16=1	$\frac{{(x - 1)}^{2}}{25} + \frac{{(y - 1)}^{2}}{16} = 1$
95957	Simplify	(3x+2)(4x-1)	$(3 x + 2) (4 x - 1)$
95958	Find the Center	((x-5)^2)/25+((y-4)^2)/16=1	$\frac{{(x - 5)}^{2}}{25} + \frac{{(y - 4)}^{2}}{16} = 1$
95959	Simplify	16x^4	$16 x^{4}$
95960	Find the Center	48x^2+y^2+24y=0	$48 x^{2} + y^{2} + 24 y = 0$
95961	Simplify	16 1/2	$16 \frac{1}{2}$
95962	Simplify	144x^2	$144 x^{2}$
95963	Find the Center	((x+1)^2)/9-((y-3)^2)/16=1	$\frac{{(x + 1)}^{2}}{9} - \frac{{(y - 3)}^{2}}{16} = 1$
95964	Simplify	14x^2y^2+9xy-18	$14 x^{2} y^{2} + 9 x y - 18$
95965	Find the Center	9x^2-18x+4y^2+16y=11	$9 x^{2} - 18 x + 4 y^{2} + 16 y = 11$
95966	Simplify	12r+5+3r-5	$12 r + 5 + 3 r - 5$
95967	Find the Center	9x^2+4y^2-72x-24y+144=0	$9 x^{2} + 4 y^{2} - 72 x - 24 y + 144 = 0$
95968	Simplify	2(2x+3)	$2 (2 x + 3)$
95969	Find the Center	9x^2+25y^2-90x+100y+100=0	$9 x^{2} + 25 y^{2} - 90 x + 100 y + 100 = 0$
95970	Simplify	2((x-3)/2)+3	$2 (\frac{x - 3}{2}) + 3$
95971	Find the Center	25x^2+9y^2+100x-36y-89=0	$25 x^{2} + 9 y^{2} + 100 x - 36 y - 89 = 0$
95972	Simplify	-19n^-5	$- 19 n^{- 5}$
95973	Find the Center	x^2+4y^2+12x-32y+96=0	$x^{2} + 4 y^{2} + 12 x - 32 y + 96 = 0$
95974	Find the Center	16x^2+80x+16y^2-112y+247=0	$16 x^{2} + 80 x + 16 y^{2} - 112 y + 247 = 0$
95975	Simplify	square root of 64/49	$\sqrt{\frac{64}{49}}$
95976	Simplify	2(3/(x+1))+3	$2 (\frac{3}{x + 1}) + 3$
95977	Find the Center	16(x-2)^2-9(y-1)^2=144	$16 {(x - 2)}^{2} - 9 {(y - 1)}^{2} = 144$
95978	Simplify	-2(x-7)	$- 2 (x - 7)$
95979	Find the Center	16x^2+25y^2-32x+250y+241=0	$16 x^{2} + 25 y^{2} - 32 x + 250 y + 241 = 0$
95980	Simplify	2(y-z)(r-s)	$2 (y - z) (r - s)$
95981	Find the Center	(x-2)^2+((y-1)^2)/49=1	${(x - 2)}^{2} + \frac{{(y - 1)}^{2}}{49} = 1$
95982	Find the Center	x^2+9y^2+10x+18y-2=0	$x^{2} + 9 y^{2} + 10 x + 18 y - 2 = 0$
95983	Simplify	11i	$11 i$
95984	Find the Center	(x^2)/16+((y-2)^2)/25=1	$\frac{x^{2}}{16} + \frac{{(y - 2)}^{2}}{25} = 1$
95985	Simplify	-12x^0	$- 12 x^{0}$
95986	Find the Center	41x^2+16y^2+246x-192y+289=0	$41 x^{2} + 16 y^{2} + 246 x - 192 y + 289 = 0$
95987	Simplify	xy^0	$x y^{0}$
95988	Find the Center	((x-2)^2)/9-((y-1)^2)/4	$\frac{{(x - 2)}^{2}}{9} - \frac{{(y - 1)}^{2}}{4}$
95989	Simplify	(x-6)/((x+4)^2)*(x^2-2x-24)/((x-6)^2)	$\frac{x - 6}{{(x + 4)}^{2}} \cdot \frac{x^{2} - 2 x - 24}{{(x - 6)}^{2}}$
95990	Find the Center	((x-5)^2)/45+((y+2)^2)/35=1	$\frac{{(x - 5)}^{2}}{45} + \frac{{(y + 2)}^{2}}{35} = 1$
95991	Find the Center	9x^2+16y^2-144=0	$9 x^{2} + 16 y^{2} - 144 = 0$
95992	Simplify	(x-5)/(x^2-3x-10)*(x+4)/(x^2+x-12)	$\frac{x - 5}{x^{2} - 3 x - 10} \cdot \frac{x + 4}{x^{2} + x - 12}$
95993	Find the Center	(x^2)/60+(y^2)/64=1	$\frac{x^{2}}{60} + \frac{y^{2}}{64} = 1$
95994	Simplify	y^(1/2)*y^(3/10)	$y^{\frac{1}{2}} \cdot y^{\frac{3}{10}}$
95995	Simplify	y^(1/7)	$y^{\frac{1}{7}}$
95996	Find the Center	y^2-4x^2-10y-16x-16=0	$y^{2} - 4 x^{2} - 10 y - 16 x - 16 = 0$
95997	Simplify	y^(2/3)	$y^{\frac{2}{3}}$
95998	Find the Center	(x+3)^2-(y-6)^2=49	${(x + 3)}^{2} - {(y - 6)}^{2} = 49$
95999	Find the Center	((x+7)^2)/9+(y^2)/49=1	$\frac{{(x + 7)}^{2}}{9} + \frac{y^{2}}{49} = 1$
96000	Simplify	y^3*y^3	$y^{3} \cdot y^{3}$