Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1901	Cancel the Common Factors	(x^2+xy+3x+3y)/(x+3)	$\frac{x^{2} + x y + 3 x + 3 y}{x + 3}$
1902	Factor	r^3+343	$r^{3} + 343$
1903	Factor	m^4-81	$m^{4} - 81$
1904	Factor	h^3-25	$h^{3} - 25$
1905	Factor	c^2+10c-11	$c^{2} + 10 c - 11$
1906	Factor	c^3+8	$c^{3} + 8$
1907	Factor	a^3-8	$a^{3} - 8$
1908	Factor	a^3b^3+125	$a^{3} b^{3} + 125$
1909	Factor	b^2-2b-35	$b^{2} - 2 b - 35$
1910	Factor	a^2+6a+8	$a^{2} + 6 a + 8$
1911	Factor	-(19-2g^2)-57+4g^2	$- (19 - 2 g^{2}) - 57 + 4 g^{2}$
1912	Simplify	3x-5x+2	$3 x - 5 x + 2$
1913	Factor	(4/a)^-3	${(\frac{4}{a})}^{- 3}$
1914	Factor	(3a-2c)^2+3c^2+10ac	${(3 a - 2 c)}^{2} + 3 c^{2} + 10 a c$
1915	Factor	x^2+25-10x	$x^{2} + 25 - 10 x$
1916	Convert to a Mixed Number	22/320	$\frac{22}{320}$
1917	Factor	x^2-1/4	$x^{2} - \frac{1}{4}$
1918	Factor	x^2+17xy+30y^2	$x^{2} + 17 x y + 30 y^{2}$
1919	Factor	v^2-7v+12	$v^{2} - 7 v + 12$
1920	Factor	w^2-11w+28	$w^{2} - 11 w + 28$
1921	Factor	w^2-4w+3	$w^{2} - 4 w + 3$
1922	Factor	y^2-16y+55	$y^{2} - 16 y + 55$
1923	Factor	x^3-6x^2+x	$x^{3} - 6 x^{2} + x$
1924	Factor	1-r^2	$1 - r^{2}$
1925	Simplify	3 square root of 27	$3 \sqrt{27}$
1926	Simplify	cube root of 8a	$\sqrt[3]{8 a}$
1927	Simplify	- square root of a( square root of a-3 square root of b)	$- \sqrt{a} (\sqrt{a} - 3 \sqrt{b})$
1928	Simplify	(x-6)/(x^2-4)	$\frac{x - 6}{x^{2} - 4}$
1929	Simplify	(x+2)/(x^2-4x-12)	$\frac{x + 2}{x^{2} - 4 x - 12}$
1930	Simplify	fourth root of 256	$\sqrt[4]{256}$
1931	Simplify	sixth root of 14^5	$\sqrt[6]{14^{5}}$
1932	Simplify	square root of 5x^8w^4 square root of 20x^5w^8	$\sqrt{5 x^{8} w^{4}} \sqrt{20 x^{5} w^{8}}$
1933	Simplify	square root of 6561	$\sqrt{6561}$
1934	Simplify	square root of 36x^7	$\sqrt{36 x^{7}}$
1935	Simplify	square root of 2x+4	$\sqrt{2 x + 4}$
1936	Simplify	square root of v^3	$\sqrt{v^{3}}$
1937	Simplify	square root of w^21	$\sqrt{w^{21}}$
1938	Simplify	square root of x^21	$\sqrt{x^{21}}$
1939	Simplify	square root of -100	$\sqrt{- 100}$
1940	Simplify	r/(r^-8r^-1)	$\frac{r}{r^{- 8} r^{- 1}}$
1941	Simplify	(b-8)/(8b-32)	$\frac{b - 8}{8 b - 32}$
1942	Simplify	square root of (x^10)/64	$\sqrt{\frac{x^{10}}{64}}$
1943	Simplify	square root of (28f^2)/9	$\sqrt{\frac{28 f^{2}}{9}}$
1944	Simplify	(-7x^2)/(3x-3)	$\frac{- 7 x^{2}}{3 x - 3}$
1945	Simplify	((8r-24s)/(3r-6s))÷((12s-4r)/(2r-4s))	$\frac{8 r - 24 s}{3 r - 6 s} \div \frac{12 s - 4 r}{2 r - 4 s}$
1946	Simplify	2/5*(15x-10)	$\frac{2}{5} \cdot (15 x - 10)$
1947	Simplify	(35z^4b^3)/(14z^3b^4)	$\frac{35 z^{4} b^{3}}{14 z^{3} b^{4}}$
1948	Simplify	((x+2)/(x^2-5x-14))/((x^2-x-6)/(x^2-10x+21))	$\frac{\frac{x + 2}{x^{2} - 5 x - 14}}{\frac{x^{2} - x - 6}{x^{2} - 10 x + 21}}$
1949	Simplify	(p^2-9)/(p^2-6p+9)	$\frac{p^{2} - 9}{p^{2} - 6 p + 9}$
1950	Simplify	( square root of 75y^3)/( square root of 3y)	$\frac{\sqrt{75 y^{3}}}{\sqrt{3 y}}$
1951	Simplify	(a^2-1)/(a+1)	$\frac{a^{2} - 1}{a + 1}$
1952	Simplify	(x^2+7x+10)/(x+2)	$\frac{x^{2} + 7 x + 10}{x + 2}$
1953	Multiply	9a^3x^7(-11a^6x^9+12x^6-3a)	$9 a^{3} x^{7} (- 11 a^{6} x^{9} + 12 x^{6} - 3 a)$
1954	Simplify	( square root of 8+3)( square root of 8-3)	$(\sqrt{8 + 3}) (\sqrt{8 - 3})$
1955	Simplify	( square root of 5x^3)( square root of 5x^5)	$(\sqrt{5 x^{3}}) (\sqrt{5 x^{5}})$
1956	Simplify	( square root of 5x-3)( square root of 6x+5)	$(\sqrt{5 x - 3}) (\sqrt{6 x + 5})$
1957	Simplify	(2x^2-5x+3)/(x^2+5x-6)	$\frac{2 x^{2} - 5 x + 3}{x^{2} + 5 x - 6}$
1958	Simplify	((5+h)^3-125)/h	$\frac{{(5 + h)}^{3} - 125}{h}$
1959	Multiply	16 2/3*414	$16 \frac{2}{3} \cdot 414$
1960	Multiply	2 1/2*2 1/2	$2 \frac{1}{2} \cdot 2 \frac{1}{2}$
1961	Multiply	-4ax^7(-7ax^6-6x^3)	$- 4 a x^{7} (- 7 a x^{6} - 6 x^{3})$
1962	Multiply	5 1/5*7 1/7	$5 \frac{1}{5} \cdot 7 \frac{1}{7}$
1963	Multiply	4/5(x6)/7	$\frac{4}{5} \cdot \frac{x \cdot 6}{7}$
1964	Factor by Grouping	3ax+bx-6a-2b	$3 a x + b x - 6 a - 2 b$
1965	Factor by Grouping	3m+mn+21+7n	$3 m + m n + 21 + 7 n$
1966	Factor by Grouping	3y-6+xy-2x	$3 y - 6 + x y - 2 x$
1967	Factor by Grouping	2x^3-7x^2-6x+21	$2 x^{3} - 7 x^{2} - 6 x + 21$
1968	Factor by Grouping	21ab-14ax+15by-10xy	$21 a b - 14 a x + 15 b y - 10 x y$
1969	Factor by Grouping	20+5m+12n+3mn	$20 + 5 m + 12 n + 3 m n$
1970	Factor by Grouping	20xy-16x-5y+4	$20 x y - 16 x - 5 y + 4$
1971	Factor by Grouping	28x^3+70^2-56x-140	$28 x^{3} + 70^{2} - 56 x - 140$
1972	Factor by Grouping	2ab+2ay+bx+xy	$2 a b + 2 a y + b x + x y$
1973	Factor by Grouping	2y-16+xy-8x	$2 y - 16 + x y - 8 x$
1974	Factor by Grouping	x^2+8x+12	$x^{2} + 8 x + 12$
1975	Factor by Grouping	x^2+2x+7x+14	$x^{2} + 2 x + 7 x + 14$
1976	Factor by Grouping	x^2+4x+xy+4y	$x^{2} + 4 x + x y + 4 y$
1977	Factor by Grouping	r^2-10tw+5wr-2tr	$r^{2} - 10 t w + 5 w r - 2 t r$
1978	Factor by Grouping	x^3+5x^2+8x+40	$x^{3} + 5 x^{2} + 8 x + 40$
1979	Factor	7t^2-44t-35	$7 t^{2} - 44 t - 35$
1980	Factor	64x^3-125a^6	$64 x^{3} - 125 a^{6}$
1981	Factor	64x^2-1	$64 x^{2} - 1$
1982	Factor	6x^2+7xt+2t^2	$6 x^{2} + 7 x t + 2 t^{2}$
1983	Factor	5c+12d-6	$5 c + 12 d - 6$
1984	Factor	5a+15	$5 a + 15$
1985	Factor	5m-9+4m	$5 m - 9 + 4 m$
1986	Factor	7a+a	$7 a + a$
1987	Factor	8x^2-30x+7	$8 x^{2} - 30 x + 7$
1988	Factor	9c^2-25	$9 c^{2} - 25$
1989	Factor	9a^3-3a	$9 a^{3} - 3 a$
1990	Factor	9y-y-12y	$9 y - y - 12 y$
1991	Factor	-2x^3-4y-1	$- 2 x^{3} - 4 y - 1$
1992	Factor	-2x^3-4x^2+4x	$- 2 x^{3} - 4 x^{2} + 4 x$
1993	Factor	-2x^4+32x^2	$- 2 x^{4} + 32 x^{2}$
1994	Factor	2-y/8	$2 - \frac{y}{8}$
1995	Factor	2y^2+27y+25	$2 y^{2} + 27 y + 25$
1996	Factor	25y^2-31y+6	$25 y^{2} - 31 y + 6$
1997	Factor	25r^2-60r+36	$25 r^{2} - 60 r + 36$
1998	Factor	27p^3-1	$27 p^{3} - 1$
1999	Factor	2x+5x-6	$2 x + 5 x - 6$
2000	Factor	16-b^2	$16 - b^{2}$