因式分解 (2a+b-c)^2-(a+b)

解答

因式分解

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

4 ab - 4 a c + 4 a^{2} + b^{2} - 2 b c + c^{2} - a - b

求解步骤

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

(2 a + b - c)^{2} = (2 a + b - c) (2 a + b - c)

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

乘开

(2 a + b - c) (2 a + b - c) : 4 ab - 4 a c + 4 a^{2} + b^{2} - 2 b c + c^{2}

= 4 ab - 4 a c + 4 a^{2} + b^{2} - 2 b c + c^{2} - (a + b)

- (a + b) : - a - b

= 4 ab - 4 a c + 4 a^{2} + b^{2} - 2 b c + c^{2} - a - b

\frac{d}{d θ} ((t) (cot (θ) y (t, θ)))

f a c t or (81917) - 1

f a c t or - \frac{1}{5} x^{2} + 2 x - 4

f a c t or (- 12 n) + (- 21)

f a c t or \frac{- 12}{7}