化简 1/(4(sqrt(8-a-b)-y)^2)

解答

化简

\frac{1}{4 ( 8 - a - b - y ) ^{2}}

\frac{1}{4 ( 8 - a - b - 2 y 8 - a - b + y ^{2} )}

求解步骤

\frac{1}{4 ( 8 - a - b - y ) ^{2}}

使用完全平方公式:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(8 - a - b - y)^{2} = (8 - a - b)^{2} - 2 8 - a - b y + y^{2}

= \frac{1}{4 ( ( 8 - a - b ) ^{2} - 2 8 - a - b y + y ^{2} )}

化简

(8 - a - b)^{2} - 2 8 - a - b y + y^{2} : 8 - a - b - 2 y 8 - a - b + y^{2}

= \frac{1}{4 ( 8 - a - b - 2 y 8 - a - b + y ^{2} )}

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