因式分解 y^2a^2-xb+xa^2-by^2

解答

因式分解

y^{2} a^{2} - x b + x a^{2} - b y^{2}

(a^{2} - b) (y^{2} + x)

求解步骤

y^{2} a^{2} - x b + x a^{2} - b y^{2}

因式分解出通项

y^{2}

= y^{2} (a^{2} - b) - x b + x a^{2}

因式分解出通项

x

= y^{2} (a^{2} - b) + x (- b + a^{2})

因式分解出通项

(a^{2} - b)

= (a^{2} - b) (y^{2} + x)

s im pl i f y 3 (x^{0.2})

f a c t or 128 t^{2} - 2 t^{2}

f a c t or (2 - x) - (2 + x)

f a c t or d^{2} (2 - x) + x (2 d - d x)

f a c t or (4 x) y