Question

$(1 - x {2})(1 + x {2} + x {4})$
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Answer 1

Ответ:

$\boxed{a^3-b^3=(a-b)(a^2+ab+b^2)}\ \ \ ,\ \ \ a=1\ ,\ b=x^2\\\\\\(1-x^2)(1+x^2+x^4)=(\underbrace {1-x^2}_{a-b})(\underbrace{1^2+1\cdot x^2+(x^2)^2}_{a^2+ab+b^2})=\underbrace {1^3-(x^2)^3}_{a^3-b^3}=1-x^6$