Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12401	Simplify	(x^2y^7-0.9)^2	${(x^{2} y^{7} - 0.9)}^{2}$
12402	Simplify	(x^2+12x+20)/(4x^2-9)(6x^3-9x^2)/(x^3+10x^2)(2x+3)	$\frac{x^{2} + 12 x + 20}{4 x^{2} - 9} \cdot \frac{6 x^{3} - 9 x^{2}}{x^{3} + 10 x^{2}} \cdot (2 x + 3)$
12403	Simplify	(x^2+8xy+16y^2)^(1/3)(x+4y)^(1/3)	${(x^{2} + 8 x y + 16 y^{2})}^{\frac{1}{3}} {(x + 4 y)}^{\frac{1}{3}}$
12404	Simplify	(x^2-25)^2	${(x^{2} - 25)}^{2}$
12405	Simplify	(x^2y)^(1/3)	${(x^{2} y)}^{\frac{1}{3}}$
12406	Simplify	(x^-3y^2)^4(-2x^3y^7)^-3	${(x^{- 3} y^{2})}^{4} {(- 2 x^{3} y^{7})}^{- 3}$
12407	Simplify	(x^n)^3	${(x^{n})}^{3}$
12408	Simplify	(x^(n-2))^3	${(x^{n - 2})}^{3}$
12409	Simplify	(xy^-2)^0	${(x y^{- 2})}^{0}$
12410	Simplify	(xy^2+2c)^3	${(x y^{2} + 2 c)}^{3}$
12411	Simplify	(y^3*z^(-1/3))^(4/3)	${(y^{3} \cdot z^{- \frac{1}{3}})}^{\frac{4}{3}}$
12412	Simplify	(y^4)^-5	${(y^{4})}^{- 5}$
12413	Simplify	(0.51-3.21)^2+(0.52-3.21)^2+(6.13-3.21)^2+(7.86-3.21)^2	${(0.51 - 3.21)}^{2} + {(0.52 - 3.21)}^{2} + {(6.13 - 3.21)}^{2} + {(7.86 - 3.21)}^{2}$
12414	Simplify	(1-6/11)^2	${(1 - \frac{6}{11})}^{2}$
12415	Simplify	(1+0.04/12)^12-1	${(1 + \frac{0.04}{12})}^{12} - 1$
12416	Simplify	(1+0.08/12)^12-1	${(1 + \frac{0.08}{12})}^{12} - 1$
12417	Simplify	(1+0.14/12)^12-1	${(1 + \frac{0.14}{12})}^{12} - 1$
12418	Simplify	(10+y)^2-y^2-11x+4	${(10 + y)}^{2} - y^{2} - 11 x + 4$
12419	Simplify	(-(-112)-v(-112^2-416160))/(2*16)	$\frac{- (- 112) - v (- 112^{2} - 4 \cdot 16 \cdot 160)}{2 \cdot 16}$
12420	Simplify	(12x^2y^5)^0	${(12 x^{2} y^{5})}^{0}$
12421	Simplify	(1-5.0)^2*0.017	${(1 - 5)}^{2} \cdot 0.017$
12422	Simplify	(16x^(1/2)y^(-1/3))^(1/2)(-8x^(-1/6)y)^(-2/3)	${(16 x^{\frac{1}{2}} y^{- \frac{1}{3}})}^{\frac{1}{2}} {(- 8 x^{- \frac{1}{6}} y)}^{- \frac{2}{3}}$
12423	Simplify	(2a^6b^4c)^2	${(2 a^{6} b^{4} c)}^{2}$
12424	Simplify	(2b^4+3b^3-2b^2-5b-10)/(b+2)	$\frac{2 b^{4} + 3 b^{3} - 2 b^{2} - 5 b - 10}{b + 2}$
12425	Simplify	(2t^2)^3	${(2 t^{2})}^{3}$
12426	Simplify	(-2w^-2d^6)^2	${(- 2 w^{- 2} d^{6})}^{2}$
12427	Simplify	(2x^2)^2(3x^3)^3	${(2 x^{2})}^{2} {(3 x^{3})}^{3}$
12428	Simplify	(2x^2)^(3-2m)(1/x)^(2m)	${(2 x^{2})}^{3 - 2 m} {(\frac{1}{x})}^{2 m}$
12429	Simplify	(-2x^2y^2z^4)^2(3xz)	${(- 2 x^{2} y^{2} z^{4})}^{2} (3 x z)$
12430	Simplify	(-2x^4y^2)^3(3x^3y^3z)	${(- 2 x^{4} y^{2})}^{3} (3 x^{3} y^{3} z)$
12431	Simplify	(2x^5y^4z^3)^2	${(2 x^{5} y^{4} z^{3})}^{2}$
12432	Simplify	(2y^2z^-3)^-4	${(2 y^{2} z^{- 3})}^{- 4}$
12433	Simplify	(7c^-6q^19)*(-9c^-20q^-6)	$(7 c^{- 6} q^{19}) \cdot (- 9 c^{- 20} q^{- 6})$
12434	Simplify	(7u^2+8uv-6v^2)(6u^2+4uv+3v^2)	$(7 u^{2} + 8 u v - 6 v^{2}) (6 u^{2} + 4 u v + 3 v^{2})$
12435	Simplify	7v^2+6v+4+(5v^2+v+2)	$7 v^{2} + 6 v + 4 + (5 v^{2} + v + 2)$
12436	Simplify	7x^2-6x-1+(2x^2-3x-5)	$7 x^{2} - 6 x - 1 + (2 x^{2} - 3 x - 5)$
12437	Simplify	7x^3-6x^2*(6x)+(4x^3+8x^2-14x)	$7 x^{3} - 6 x^{2} \cdot (6 x) + (4 x^{3} + 8 x^{2} - 14 x)$
12438	Simplify	7x^3-7x^6+8x-8x^7+(9x^3+7x^6+2x^7+9x^4)	$7 x^{3} - 7 x^{6} + 8 x - 8 x^{7} + (9 x^{3} + 7 x^{6} + 2 x^{7} + 9 x^{4})$
12439	Simplify	(7+2i)-(4-3i)	$(7 + 2 i) - (4 - 3 i)$
12440	Simplify	(7-19y)-(18+9y)	$(7 - 19 y) - (18 + 9 y)$
12441	Simplify	7-3i+(8+7i)	$7 - 3 i + (8 + 7 i)$
12442	Simplify	(7-5 square root of 2)(7+5 square root of 2)	$(7 - 5 \sqrt{2}) (7 + 5 \sqrt{2})$
12443	Simplify	(7t-8)(7t+8)	$(7 t - 8) (7 t + 8)$
12444	Simplify	(7u+4v)(7u-4v)	$(7 u + 4 v) (7 u - 4 v)$
12445	Simplify	(7x)(5x^4)	$(7 x) (5 x^{4})$
12446	Simplify	(7x+9y)(7x-9y)	$(7 x + 9 y) (7 x - 9 y)$
12447	Simplify	8m^4n^3+6m^2n^3+8n^4+(7m^4n^3+m^2n^3+2n^4)	$8 m^{4} n^{3} + 6 m^{2} n^{3} + 8 n^{4} + (7 m^{4} n^{3} + m^{2} n^{3} + 2 n^{4})$
12448	Simplify	(-8u^2+8u-3)-(-2u^2+6u-5)+(5u^2-9+8)	$(- 8 u^{2} + 8 u - 3) - (- 2 u^{2} + 6 u - 5) + (5 u^{2} - 9 + 8)$
12449	Simplify	(8x^2-7x^3)-(5x^2-9x^3)	$(8 x^{2} - 7 x^{3}) - (5 x^{2} - 9 x^{3})$
12450	Simplify	(8+9i)(3-7i)	$(8 + 9 i) (3 - 7 i)$
12451	Simplify	(8-3i)-(-2+4i)	$(8 - 3 i) - (- 2 + 4 i)$
12452	Simplify	(8-4i)(4-7i)	$(8 - 4 i) (4 - 7 i)$
12453	Simplify	(8-5i)-(2+i)	$(8 - 5 i) - (2 + i)$
12454	Simplify	(8-9i)-(7-6i)	$(8 - 9 i) - (7 - 6 i)$
12455	Simplify	(-8-i)(1+2i)	$(- 8 - i) (1 + 2 i)$
12456	Simplify	(9)x(10)x(10)x(10)x(90000000)	$(9) x (10) x (10) x (10) x (90000000)$
12457	Simplify	(9x^2(z^4))/(49x^-2)	$\frac{9 x^{2} (z^{4})}{49 x^{- 2}}$
12458	Simplify	(9x^2y-4xy+4xy^2)-(3x^2y+4xy+2xy^2)	$(9 x^{2} y - 4 x y + 4 x y^{2}) - (3 x^{2} y + 4 x y + 2 x y^{2})$
12459	Simplify	9x^3y^2+6x^2y^2+6xy^2+(5x^3y^2-2x^2y^2-4xy^2)	$9 x^{3} y^{2} + 6 x^{2} y^{2} + 6 x y^{2} + (5 x^{3} y^{2} - 2 x^{2} y^{2} - 4 x y^{2})$
12460	Simplify	-9x^6-5x^4-6x-10x^5+(10x^3-6x^4+9x+x^5)	$- 9 x^{6} - 5 x^{4} - 6 x - 10 x^{5} + (10 x^{3} - 6 x^{4} + 9 x + x^{5})$
12461	Simplify	(-9x^8)x^4	$(- 9 x^{8}) x^{4}$
12462	Simplify	923x^2+450x^2	$923 x^{2} + 450 x^{2}$
12463	Simplify	(9-7x)(9+7x)	$(9 - 7 x) (9 + 7 x)$
12464	Simplify	(9rs-3r^5s-12rs^4)-(10rs^4-6rs+9r^5s)	$(9 r s - 3 r^{5} s - 12 r s^{4}) - (10 r s^{4} - 6 r s + 9 r^{5} s)$
12465	Simplify	(9x-2)(9-2x)	$(9 x - 2) (9 - 2 x)$
12466	Simplify	(a+1/b)(b+1/a)	$(a + \frac{1}{b}) (b + \frac{1}{a})$
12467	Simplify	(a+b)(2a+b)(a-2b)	$(a + b) (2 a + b) (a - 2 b)$
12468	Simplify	(a+b)x^2-(a+b)*(11x)+18(a+b)f(x)	$(a + b) x^{2} - (a + b) \cdot (11 x) + 18 (a + b) f (x)$
12469	Simplify	(a-2)(a^2-6a+7)	$(a - 2) (a^{2} - 6 a + 7)$
12470	Simplify	(b+5)(b-9)	$(b + 5) (b - 9)$
12471	Simplify	(e-3)(e+2)	$(e - 3) (e + 2)$
12472	Simplify	(fg)(9)	$(f g) (9)$
12473	Simplify	(g-f)(-2)	$(g - f) (- 2)$
12474	Simplify	(-i)-(2i)+(7-8i)	$(- i) - (2 i) + (7 - 8 i)$
12475	Simplify	(k+2)(12k^3-3k+k+1)	$(k + 2) (12 k^{3} - 3 k + k + 1)$
12476	Simplify	(r-s)(x-4)	$(r - s) (x - 4)$
12477	Simplify	(w+4)(w-2)	$(w + 4) (w - 2)$
12478	Simplify	(x-(3+i))(x-(3-i)(x-4))	$(x - (3 + i)) (x - (3 - i) (x - 4))$
12479	Simplify	(x)dx	$(x) d x$
12480	Simplify	(x-221/46)(x-221/46)	$(x - \frac{221}{46}) (x - \frac{221}{46})$
12481	Simplify	x-9^9	$x - 9^{9}$
12482	Simplify	(x+1/2)(x+7/2)	$(x + \frac{1}{2}) (x + \frac{7}{2})$
12483	Simplify	(x+1)(x-2)(x-i)(x+i)	$(x + 1) (x - 2) (x - i) (x + i)$
12484	Simplify	(x+2)(3x-5)	$(x + 2) (3 x - 5)$
12485	Simplify	(x+3)(4x-7)	$(x + 3) (4 x - 7)$
12486	Simplify	(x+5)(5x+2)	$(x + 5) (5 x + 2)$
12487	Simplify	(x+5)(7x-4)	$(x + 5) (7 x - 4)$
12488	Simplify	(x+6y)(-5x-9y)	$(x + 6 y) (- 5 x - 9 y)$
12489	Simplify	(a+7)(a+7)	$(a + 7) (a + 7)$
12490	Simplify	(x+h)(20-x)	$(x + h) (20 - x)$
12491	Simplify	(-16x^2-19x-10)-(-18x^2-13x-14)	$(- 16 x^{2} - 19 x - 10) - (- 18 x^{2} - 13 x - 14)$
12492	Simplify	(1-6y^2+3y-4)-(9y^2-3y)	$(1 - 6 y^{2} + 3 y - 4) - (9 y^{2} - 3 y)$
12493	Simplify	(2m^2)-1/(m^2)	$(2 m^{2}) - \frac{1}{m^{2}}$
12494	Simplify	-2m^2+9n^2-5n-(9m^2-5m+7n-9m^2+4n^2)	$- 2 m^{2} + 9 n^{2} - 5 n - (9 m^{2} - 5 m + 7 n - 9 m^{2} + 4 n^{2})$
12495	Simplify	(2n^2+5n-8)(4n^2-8n+22544)	$(2 n^{2} + 5 n - 8) (4 n^{2} - 8 n + 22544)$
12496	Simplify	(2t^4-5t^3)(7t^3-4t^2)	$(2 t^{4} - 5 t^{3}) (7 t^{3} - 4 t^{2})$
12497	Simplify	(2 square root of 3-5 square root of 10)(3 square root of 3+ square root of 10)	$(2 \sqrt{3} - 5 \sqrt{10}) (3 \sqrt{3} + \sqrt{10})$
12498	Simplify	2x^2-5x-54+(4x^2+9x)	$2 x^{2} - 5 x - 54 + (4 x^{2} + 9 x)$
12499	Simplify	(-2x^2-6x)-(4x^2+9x-9)	$(- 2 x^{2} - 6 x) - (4 x^{2} + 9 x - 9)$
12500	Simplify	(2x^2-6x+13)(9x^2+8x-48)	$(2 x^{2} - 6 x + 13) (9 x^{2} + 8 x - 48)$