因式分解 36a^4b^2-49a^2b^4

解答

因式分解

36 a^{4} b^{2} - 49 a^{2} b^{4}

a^{2} b^{2} (6 a + 7 b) (6 a - 7 b)

求解步骤

36 a^{4} b^{2} - 49 a^{2} b^{4}

因式分解出通项

a^{2} b^{2} : a^{2} b^{2} (36 a^{2} - 49 b^{2})

= a^{2} b^{2} (36 a^{2} - 49 b^{2})

因式分解

36 a^{2} - 49 b^{2} : (6 a + 7 b) (6 a - 7 b)

= a^{2} b^{2} (6 a + 7 b) (6 a - 7 b)

s im pl i f y \frac{x ^{2}}{x ^{\frac{1}{2}}}

6 x^{2} - 11 x - 35 = 0

f a c t or 50 g^{2} - 8

2 (x + 2) > 8 (3 - x)

3 e^{- 5 x + 1} < - ∣ x + 1 ∣