因式分解 (3a+7)^2-5a(a-4)

解答

因式分解

(3 a + 7)^{2} - 5 a (a - 4)

4 (a - \frac{3 85 - 31}{4}) (a - \frac{- 31 - 3 85}{4})

求解步骤

(3 a + 7)^{2} - 5 a (a - 4)

乘开

(3 a + 7)^{2} - 5 a (a - 4) : 4 a^{2} + 62 a + 49

= 4 a^{2} + 62 a + 49

分解

4 a^{2} + 62 a + 49 : 4 (a - \frac{- 31 + 3 85}{4}) (a - \frac{- 31 - 3 85}{4})

= 4 (a - \frac{3 85 - 31}{4}) (a - \frac{- 31 - 3 85}{4})

f a c t or a x^{2} + b y^{2} + b x^{2} + a y^{2}

f (x) = 50 (x)^{2}

f a c t or tan^{3} (a) - cot^{3} (a)

f a c t or cos^{6} (θ) + sin^{6} (x)

\frac{d}{d t} ((P (t)) (k P (t) (1200 - P (t))))