因式分解 100y^2-121z^4

解答

因式分解

100 y^{2} - 121 z^{4}

(10 y + 11 z^{2}) (10 y - 11 z^{2})

求解步骤

100 y^{2} - 121 z^{4}

100 y^{2} = (10 y)^{2}

121 z^{4} = (11 z^{2})^{2}

= (10 y)^{2} - (11 z^{2})^{2}

使用平方差公式:

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

(10 y)^{2} - (11 z^{2})^{2} = (10 y + 11 z^{2}) (10 y - 11 z^{2})

= (10 y + 11 z^{2}) (10 y - 11 z^{2})

- 3 (- 8) + 2 (- 4) = 5

s im pl i f y \frac{4 !}{( 4 - 4 ) ! 4 !}

2 b^{2} + 5 b - 12 = 0

3 x - \frac{2 x}{5} = \frac{3 x}{10} + 14

7 (x + 4) = 56