What is expand (a^2-b^2)(a^4+a^2b^2+b^4) ?

The solution to expand (a^2-b^2)(a^4+a^2b^2+b^4) is a^6+a^4b^2+a^2b^4-b^2a^4-b^4a^2-b^6

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expand (a^2-b^2)(a^4+a^2b^2+b^4)

expand

(a^{2} - b^{2}) (a^{4} + a^{2} b^{2} + b^{4})

a^{6} + a^{4} b^{2} + a^{2} b^{4} - b^{2} a^{4} - b^{4} a^{2} - b^{6}

Solution steps

(a^{2} - b^{2}) (a^{4} + a^{2} b^{2} + b^{4})

Distribute parentheses

= a^{2} a^{4} + a^{2} a^{2} b^{2} + a^{2} b^{4} - b^{2} a^{4} - b^{2} a^{2} b^{2} - b^{2} b^{4}

Simplify

a^{2} a^{4} + a^{2} a^{2} b^{2} + a^{2} b^{4} - b^{2} a^{4} - b^{2} a^{2} b^{2} - b^{2} b^{4} : a^{6} + a^{4} b^{2} + a^{2} b^{4} - b^{2} a^{4} - b^{4} a^{2} - b^{6}

= a^{6} + a^{4} b^{2} + a^{2} b^{4} - b^{2} a^{4} - b^{4} a^{2} - b^{6}

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What is expand (a^2-b^2)(a^4+a^2b^2+b^4) ?
The solution to expand (a^2-b^2)(a^4+a^2b^2+b^4) is a^6+a^4b^2+a^2b^4-b^2a^4-b^4a^2-b^6