因式分解 49m^2-16x^4

解答

因式分解

49 m^{2} - 16 x^{4}

(7 m + 4 x^{2}) (7 m - 4 x^{2})

求解步骤

49 m^{2} - 16 x^{4}

49 m^{2} = (7 m)^{2}

16 x^{4} = (4 x^{2})^{2}

= (7 m)^{2} - (4 x^{2})^{2}

使用平方差公式:

x^{2} - y^{2} = (x + y) (x - y)

(7 m)^{2} - (4 x^{2})^{2} = (7 m + 4 x^{2}) (7 m - 4 x^{2})

= (7 m + 4 x^{2}) (7 m - 4 x^{2})

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

e x p an d (x + 2 y)^{3} + 512

s im pl i f y 5.8 x \cdot 105 \cdot 4 \cdot 3 \cdot 1064

s im pl i f y z^{4} + (- 24) z^{2} + 400

s im pl i f y \frac{\frac{x}{x}}{6} + \frac{x}{24}