因式分解 x^2-11-26

解答

因式分解

x^{2} - 11 - 26

(x + 37) (x - 37)

求解步骤

x^{2} - 11 - 26

数字相减:

- 11 - 26 = - 37

= x^{2} - 37

使用根式运算法则:

a = (a)^{2}

37 = (37)^{2}

= x^{2} - (37)^{2}

使用平方差公式:

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

x^{2} - (37)^{2} = (x + 37) (x - 37)

= (x + 37) (x - 37)

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