因式分解 2ax^2+2axy-bxy-by^2

解答

因式分解

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

(x + y) (2 a x - b y)

求解步骤

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

分解

2 a x^{2} + 2 a x y : 2 x a (x + y)

分解

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

= 2 x a (x + y) - y b (x + y)

因式分解出通项

(x + y)

= (x + y) (2 x a - y b)

f a c t or 2 (x + 7)^{2} - 5 (x + 7) - 25

f a c t or (cos (x + y)) + (cos (x - y))

f a c t or (a + h) (a + h) (a + h)

f a c t or 9 p^{2 - 4 p}

f a c t or d (3 x)