What is expand (a^5-b^5)^2 ?

The solution to expand (a^5-b^5)^2 is a^{10}-2a^5b^5+b^{10}

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expand (a^5-b^5)^2

expand

(a^{5} - b^{5})^{2}

a^{10} - 2 a^{5} b^{5} + b^{10}

Solution steps

(a^{5} - b^{5})^{2}

Apply Perfect Square Formula:

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

(a^{5} - b^{5})^{2} = (a^{5})^{2} - 2 a^{5} b^{5} + (b^{5})^{2}

= (a^{5})^{2} - 2 a^{5} b^{5} + (b^{5})^{2}

Simplify

(a^{5})^{2} - 2 a^{5} b^{5} + (b^{5})^{2} : a^{10} - 2 a^{5} b^{5} + b^{10}

= a^{10} - 2 a^{5} b^{5} + b^{10}

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What is expand (a^5-b^5)^2 ?
The solution to expand (a^5-b^5)^2 is a^{10}-2a^5b^5+b^{10}