化简 (x+y)^2*(x-y)^2

解答

化简

(x + y)^{2} \cdot (x - y)^{2}

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

求解步骤

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

使用指数法则:

a^{m} b^{m} = (ab)^{m},

假定

a \geq 0, b \geq 0

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

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

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

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

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