因式分解 3Ax+A-15bx-5b

解答

因式分解

3 A x + A - 15 b x - 5 b

(A - 5 b) (3 x + 1)

求解步骤

3 A x + A - 15 b x - 5 b

改写为

= 3 x A + A - 5 \cdot 3 x b - 5 b

因式分解出通项

3 x

= 3 x (A - 5 b) + A - 5 b

改写为

= 3 (A - 5 b) x + 1 \cdot (A - 5 b)

因式分解出通项

(A - 5 b)

= (A - 5 b) (3 x + 1)

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

f a c t or 16 + 82

f a c t or (x^{2}) + 8

f a c t or 3 m - n^{2} + 2 n^{2} x - 6 m x