因式分解 a^2-6a+6b-b^2

解答

因式分解

a^{2} - 6 a + 6 b - b^{2}

(a - b) (a + b - 6)

求解步骤

a^{2} - 6 a + 6 b - b^{2}

因式分解

a^{2} - b^{2} : (a + b) (a - b)

因式分解

- 6 a + 6 b : 6 (- a + b)

= (a + b) (a - b) + (6) (- a + b)

6 (- a + b) = - 6 (a - b)

= (a + b) (a - b) - 6 (a - b)

因式分解出通项

a - b

= (a - b) (a + b - 6)

f a c t or 36 x^{2} + 60 x y + 25 y^{2}

s im pl i f y \frac{9}{5} m + \frac{a}{10} k

s im pl i f y j \cdot (5^{- 1} \cdot 2^{- 1}) \cdot 6^{- 1}

s im pl i f y \frac{( x ^{3} - 2 x ^{2} + 1 )}{( x - 1 )}

f a c t or 6 x^{3} \cdot y^{2} + 9 x^{2} \cdot y^{3} - 3 x^{2} \cdot y^{2}