因式分解 100-(x+7)^2

解答

因式分解

100 - (x + 7)^{2}

(17 + x) (- x + 3)

求解步骤

100 - (x + 7)^{2}

因式分解数字:

100 = 1 0^{2}

= 1 0^{2} - (x + 7)^{2}

使用平方差公式:

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

1 0^{2} - (x + 7)^{2} = (10 + (x + 7)) (10 - (x + 7))

= (10 + (x + 7)) (10 - (x + 7))

化简

(10 + (x + 7)) (10 - (x + 7)) : (17 + x) (- x + 3)

= (17 + x) (- x + 3)

f a c t or 0.7 \cdot x^{2} - (34.5646) \cdot x + 84.8022

f a c t or 7 y^{5} + 14 y^{4} - 21 y^{3}

s im pl i f y 14 \cdot 3

51 = p \cdot 300

f a c t or - x^{2} + 3 x y - 2 y^{2}