因式分解 0.04x^2-0.0529

解答

因式分解

0.04 x^{2} - 0.0529

(0.2 x + 0.23) (0.2 x - 0.23)

求解步骤

0.04 x^{2} - 0.0529

将

0.04 x^{2} - 0.0529

改写为

(0.04 x)^{2} - (0.0529)^{2}

= (0.04 x)^{2} - (0.0529)^{2}

使用平方差公式:

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

(0.04 x)^{2} - (0.0529)^{2} = (0.04 x + 0.0529) (0.04 x - 0.0529)

= (0.04 x + 0.0529) (0.04 x - 0.0529)

0.04 = 0.2

= (0.2 x + 0.0529) (0.04 x - 0.0529)

0.0529 = 0.23

= (0.2 x + 0.23) (0.04 x - 0.0529)

0.04 = 0.2

= (0.2 x + 0.23) (0.2 x - 0.0529)

0.0529 = 0.23

= (0.2 x + 0.23) (0.2 x - 0.23)

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