What is expand ((1+x)(1+x+x^2))^2 ?

The solution to expand ((1+x)(1+x+x^2))^2 is (x+1)^2(x^2+x+1)^2

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expand ((1+x)(1+x+x^2))^2

expand

((1 + x) (1 + x + x^{2}))^{2}

(x + 1)^{2} (x^{2} + x + 1)^{2}

Solution steps

((1 + x) (1 + x + x^{2}))^{2}

Apply exponent rule:

(ab)^{c} = a^{c} b^{c}

((1 + x) (1 + x + x^{2}))^{2} = (1 + x)^{2} (1 + x + x^{2})^{2}

= (x + 1)^{2} (x^{2} + x + 1)^{2}

(8 a b^{2} c) (13 a^{2} c)

7^{5}

\frac{e ^{7}}{e ^{7}}

- e^{- t} \times cos (t)

What is expand ((1+x)(1+x+x^2))^2 ?
The solution to expand ((1+x)(1+x+x^2))^2 is (x+1)^2(x^2+x+1)^2