因式分解 ac-2ad+2bc-4bd

解答

因式分解

a c - 2 a d + 2 b c - 4 b d

(c - 2 d) (a + 2 b)

求解步骤

a c - 2 a d + 2 b c - 4 b d

因式分解出通项

a

= a (c - 2 d) + 2 b c - 4 b d

改写为

= a (c - 2 d) + 2 b c - 2 \cdot 2 b d

因式分解出通项

2 b

= a (c - 2 d) + 2 b (c - 2 d)

因式分解出通项

(c - 2 d)

= (c - 2 d) (a + 2 b)

f a c t or cos (a^{3} + x^{3})

f a c t or 2^{2} + 3 x + 1

f a c t or f x - 3 f x f y + 5 f y

f a c t or 5 + 9 x^{2} - 30

f a c t or + \infty \cdot (- \infty)