Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
9401	Factor	(a-2b)*(a+2b)+3b^2	$(a - 2 b) \cdot (a + 2 b) + 3 b^{2}$
9402	Factor	(a-4)(a+5)+(a-4)(a-2)	$(a - 4) (a + 5) + (a - 4) (a - 2)$
9403	Factor	(-a-4b+6)*(4ab)	$(- a - 4 b + 6) \cdot (4 a b)$
9404	Factor	(a-b)(a+b)-(a-b)^2	$(a - b) (a + b) - {(a - b)}^{2}$
9405	Simplify	(a/b)/(c/d)	$\frac{\frac{a}{b}}{\frac{c}{d}}$
9406	Simplify	(a^2-5a-9)/(a-2)	$\frac{a^{2} - 5 a - 9}{a - 2}$
9407	Simplify	((d^7)/(5a))÷((d^2)/(10a^2))*a/(3d^3)	$\frac{d^{7}}{5 a} \div \frac{d^{2}}{10 a^{2}} \cdot \frac{a}{3 d^{3}}$
9408	Simplify	(y^4)/(y^2)	$\frac{y^{4}}{y^{2}}$
9409	Write in Standard Form	(3-2i)/(4-5i)	$\frac{3 - 2 i}{4 - 5 i}$
9410	Write in Standard Form	(4+i)/(8i)	$\frac{4 + i}{8 i}$
9411	Simplify	(a(a^2-b^2))/(a^2+2ab+b^2)	$\frac{a (a^{2} - b^{2})}{a^{2} + 2 a b + b^{2}}$
9412	Simplify	((a1)/a)÷((a1)/(a^2))	$\frac{a \cdot 1}{a} \div \frac{a \cdot 1}{a^{2}}$
9413	Simplify	A square root of 1621(1073)(1185)(984)	$A \sqrt{1621 (1073) (1185) (984)}$
9414	Simplify	AAaA square root of 5(5-a)(5-b)(5-c)A	$A A a A \sqrt{5 (5 - a)} (5 - b) (5 - c) A$
9415	Simplify	arccos(-( square root of 3)/2)	$\arccos (- \frac{\sqrt{3}}{2})$
9416	Simplify	arccos(( square root of 27)÷7)	$\arccos (\sqrt{27} \div 7)$
9417	Simplify	arcsec(- square root of 2)	$arcsec (- \sqrt{2})$
9418	Simplify	arcsin(-( square root of 2)/2)	$\arcsin (- \frac{\sqrt{2}}{2})$
9419	Factor	(6y^3-2y^2+6y-8)-5y^3-4y^2+7y+3	$(6 y^{3} - 2 y^{2} + 6 y - 8) - 5 y^{3} - 4 y^{2} + 7 y + 3$
9420	Factor	(62)-65/100	$(62) - \frac{65}{100}$
9421	Factor	(6b-5)*(3b+1)	$(6 b - 5) \cdot (3 b + 1)$
9422	Factor	6p+3y	$6 p + 3 y$
9423	Factor	(6v-7)(4v-4)	$(6 v - 7) (4 v - 4)$
9424	Factor	(6x-17)(4x+5)	$(6 x - 17) (4 x + 5)$
9425	Factor	6y+9y	$6 y + 9 y$
9426	Factor	6z-3+(4z-5)	$6 z - 3 + (4 z - 5)$
9427	Factor	(7 5/9*1 11/18)-(5/8+7/8)^2	$(7 \frac{5}{9} \cdot 1 \frac{11}{18}) - {(\frac{5}{8} + \frac{7}{8})}^{2}$
9428	Factor	(75-30)÷9	$(75 - 30) \div 9$
9429	Factor	(7a+1)(7a-1)	$(7 a + 1) (7 a - 1)$
9430	Factor	(8b^3-10b^2)*(9b^5)	$(8 b^{3} - 10 b^{2}) \cdot (9 b^{5})$
9431	Factor	(-8c^3*(7c^2)+4)-(-4c^2+4c-6)	$(- 8 c^{3} \cdot (7 c^{2}) + 4) - (- 4 c^{2} + 4 c - 6)$
9432	Factor	(8m-7+4m^2)÷(5+2m)	$(8 m - 7 + 4 m^{2}) \div (5 + 2 m)$
9433	Factor	(8x+2)-(3x-3)	$(8 x + 2) - (3 x - 3)$
9434	Factor	9a^2-ay+y^2+(-a^2-3ay+4y^2)	$9 a^{2} - a y + y^{2} + (- a^{2} - 3 a y + 4 y^{2})$
9435	Factor	(9a^4+2a^2+5)-(16a^4-7a^2+1)	$(9 a^{4} + 2 a^{2} + 5) - (16 a^{4} - 7 a^{2} + 1)$
9436	Factor	(-9b^9-11n)-(6b^9-77)	$(- 9 b^{9} - 11 n) - (6 b^{9} - 77)$
9437	Factor	9p^(3+n)+3p^(n-2)	$9 p^{3 + n} + 3 p^{n - 2}$
9438	Factor	(3h-4j+6k)-6(-3hh+3j-7k)	$(3 h - 4 j + 6 k) - 6 (- 3 h h + 3 j - 7 k)$
9439	Factor	(3k+3)÷((8k+8)/9)	$(3 k + 3) \div \frac{8 k + 8}{9}$
9440	Factor	3m-6n+(2m+n)	$3 m - 6 n + (2 m + n)$
9441	Factor	3p-7+(5p-6)	$3 p - 7 + (5 p - 6)$
9442	Factor	3r+5p-4+(2r-4p+4)	$3 r + 5 p - 4 + (2 r - 4 p + 4)$
9443	Factor	(3s-1)(s^2-4s+2)	$(3 s - 1) (s^{2} - 4 s + 2)$
9444	Factor	(3s-6)+5(3s-6)-5	$(3 s - 6) + 5 (3 s - 6) - 5$
9445	Factor	(3t)(3t)^3	$(3 t) {(3 t)}^{3}$
9446	Factor	(3y-1)(y^2-2y+1)	$(3 y - 1) (y^{2} - 2 y + 1)$
9447	Factor	4.2i-2.3i+(7.2-7.7i)-(6.67i)	$4.2 i - 2.3 i + (7.2 - 7.7 i) - (6.67 i)$
9448	Factor	(4.510^-4)(910^-5)	$(4.5 \cdot 10^{- 4}) (9 \cdot 10^{- 5})$
9449	Factor	(-4a^3bc^5)(-b^4c)+3ac^3	$(- 4 a^{3} b c^{5}) (- b^{4} c) + 3 a c^{3}$
9450	Factor	-4k^2+48k-144	$- 4 k^{2} + 48 k - 144$
9451	Factor	(4r^4-18r^3+28+25)÷(r-4)	$(4 r^{4} - 18 r^{3} + 28 + 25) \div (r - 4)$
9452	Factor	4t^3+3t^2-5t-2	$4 t^{3} + 3 t^{2} - 5 t - 2$
9453	Factor	(4+5i)(4-5i)	$(4 + 5 i) (4 - 5 i)$
9454	Factor	(4+a)(4-a)-12-3a	$(4 + a) (4 - a) - 12 - 3 a$
9455	Factor	(40+8)(80-2)	$(40 + 8) (80 - 2)$
9456	Factor	(4-6w)-(3-8w)	$(4 - 6 w) - (3 - 8 w)$
9457	Factor	(480-7/9q)(5/4q)	$(480 - \frac{7}{9} q) (\frac{5}{4} q)$
9458	Factor	(-4h+2)(3h+7)	$(- 4 h + 2) (3 h + 7)$
9459	Factor	4x-7+(2x+13)	$4 x - 7 + (2 x + 13)$
9460	Factor	4y*25+5y	$4 y \cdot 25 + 5 y$
9461	Factor	(4y+5)(3y-2)	$(4 y + 5) (3 y - 2)$
9462	Factor	(4y+7)*(7y)+2	$(4 y + 7) \cdot (7 y) + 2$
9463	Factor	(5 1/3)m-30-1 1/9m-18	$(5 \frac{1}{3}) m - 30 - 1 \frac{1}{9} m - 18$
9464	Factor	5a^3+7a^2-3a+4+(2a^2+3a^2+2a-4)	$5 a^{3} + 7 a^{2} - 3 a + 4 + (2 a^{2} + 3 a^{2} + 2 a - 4)$
9465	Factor	(5d^3)(-2d^2)	$(5 d^{3}) (- 2 d^{2})$
9466	Factor	5y^2-7y-3+(2y^2-y+6)	$5 y^{2} - 7 y - 3 + (2 y^{2} - y + 6)$
9467	Factor	5z^8-7z^3+6z^2+9+(7z^6+5z^3-3z)+(-3z^3+6z^2+3z-3)	$5 z^{8} - 7 z^{3} + 6 z^{2} + 9 + (7 z^{6} + 5 z^{3} - 3 z) + (- 3 z^{3} + 6 z^{2} + 3 z - 3)$
9468	Factor	(50-h)-(7+h)	$(50 - h) - (7 + h)$
9469	Factor	5d-h+(h-5d)	$5 d - h + (h - 5 d)$
9470	Factor	5h-4y+(3h+2y)	$5 h - 4 y + (3 h + 2 y)$
9471	Factor	5ms-5ps+(7m-p)	$5 m s - 5 p s + (7 m - p)$
9472	Factor	(5n-1)(4n+5)	$(5 n - 1) (4 n + 5)$
9473	Factor	5x-9+(-7x+4)	$5 x - 9 + (- 7 x + 4)$
9474	Factor	(5y-4)+3y(2x+13)	$(5 y - 4) + 3 y (2 x + 13)$
9475	Factor	((y-9)(y-3))/(y-5)*((5y+1)(y-5))/(y-3)	$\frac{(y - 9) (y - 3)}{y - 5} \cdot \frac{(5 y + 1) (y - 5)}{y - 3}$
9476	Factor	(z+y)^16	${(z + y)}^{16}$
9477	Factor	(z-2)^(3/2)	${(z - 2)}^{\frac{3}{2}}$
9478	Factor	(0.0023900)/(3000.0004)	$\frac{0.002 \cdot 3900}{300 \cdot 0.0004}$
9479	Factor	0.7/10	$\frac{0.7}{10}$
9480	Factor	(((m+n+p+q+r)^2-(m+n+p-q-r)^2)/((m+n+p)(q-r)))^-2	${(\frac{{(m + n + p + q + r)}^{2} - {(m + n + p - q - r)}^{2}}{(m + n + p) (q - r)})}^{- 2}$
9481	Factor	((1+i)^1041)/((1-i)^1041)	$\frac{{(1 + i)}^{1041}}{{(1 - i)}^{1041}}$
9482	Factor	((15a)^2)/((3b)^3)	$\frac{{(15 a)}^{2}}{{(3 b)}^{3}}$
9483	Factor	((3p^5)^3)/((6p^3)^2)	$\frac{{(3 p^{5})}^{3}}{{(6 p^{3})}^{2}}$
9484	Factor	((9y)^2)/((3y^-1)^3)	$\frac{{(9 y)}^{2}}{{(3 y^{- 1})}^{3}}$
9485	Factor	((z-2)^2)/4+((q-3)^2)/6	$\frac{{(z - 2)}^{2}}{4} + \frac{{(q - 3)}^{2}}{6}$
9486	Factor	(16^5)/(8^5)	$\frac{16^{5}}{8^{5}}$
9487	Factor	(3/5)/(-8/15)	$\frac{\frac{3}{5}}{- \frac{8}{15}}$
9488	Factor	(4/8)/(8/6)	$\frac{\frac{4}{8}}{\frac{8}{6}}$
9489	Factor	(6^(-n+2))/(15^(-n-1))*(2^(n+3))/(5^(n+1))	$\frac{6^{- n + 2}}{15^{- n - 1}} \cdot \frac{2^{n + 3}}{5^{n + 1}}$
9490	Factor	(7/8)/(3/4)	$\frac{\frac{7}{8}}{\frac{3}{4}}$
9491	Factor	(a^2)/16-(b^2)/25	$\frac{a^{2}}{16} - \frac{b^{2}}{25}$
9492	Factor	(a+3b)^2+b(a-9b)-7ab	${(a + 3 b)}^{2} + b (a - 9 b) - 7 a b$
9493	Factor	(a+3b)^2-25	${(a + 3 b)}^{2} - 25$
9494	Factor	(a+5)^5-(2a+3)^2	${(a + 5)}^{5} - {(2 a + 3)}^{2}$
9495	Factor	(a+b)^3+(c-d)^3	${(a + b)}^{3} + {(c - d)}^{3}$
9496	Factor	(a-2b)^3-4(a-2b)	${(a - 2 b)}^{3} - 4 (a - 2 b)$
9497	Factor	(a-4b)^2-4(a-4b)+4	${(a - 4 b)}^{2} - 4 (a - 4 b) + 4$
9498	Factor	(a-b)^2-(a+b)^2	${(a - b)}^{2} - {(a + b)}^{2}$
9499	Factor	(a-b)^2+(a-b)^2	${(a - b)}^{2} + {(a - b)}^{2}$
9500	Factor	(a-b)^3+27	${(a - b)}^{3} + 27$