因式分解 10x^2-29+10

解答

因式分解

10 x^{2} - 29 + 10

(10 x + 19) (10 x - 19)

求解步骤

10 x^{2} - 29 + 10

数字相加/相减:

- 29 + 10 = - 19

= 10 x^{2} - 19

将

10 x^{2} - 19

改写为

(10 x)^{2} - (19)^{2}

= (10 x)^{2} - (19)^{2}

使用平方差公式:

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

(10 x)^{2} - (19)^{2} = (10 x + 19) (10 x - 19)

= (10 x + 19) (10 x - 19)

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