因式分解 x^3y^2+xy^2

解答

因式分解

x^{3} y^{2} + x y^{2}

x y^{2} (x^{2} + 1)

求解步骤

x^{3} y^{2} + x y^{2}

使用指数法则:

a^{b + c} = a^{b} a^{c}

x^{3} y^{2} = x x^{2} y^{2}

= x x^{2} y^{2} + x y^{2}

因式分解出通项

x y^{2}

= x y^{2} (x^{2} + 1)

- (3 v + 1) + 7 (6 v + 6) = - 37

f a c t or 3 f (g + h) + (g + h)^{2}

(x - 3)^{2} - 5 (x - 3) = - 4

s im pl i f y 9175

\frac{( 3 y + 4 )}{5} - \frac{( y + 2 )}{2} = \frac{( 4 y - 1 )}{10}