Question

evaluate(x^2-1)(x^4+x^2+1)

Answer 1

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

If we evaluate, we will multiply both the brackets or parenthesis.

Firstly, we will multiply the [tex] x^{2} to second bracket all the terms and same steps with -1

[tex] x^{2}([tex] x^{4}) + [tex] x^{2}([tex] x^{2}) + [tex] x^{2}(1) - 1([tex] x^{4}) - 1([tex] x^{2}) -1(1)

If base are same then we add the power (for example: [tex] x^{3}([tex] x^{5}) = [tex] x^{(3+5)} = [tex] x^{8} )

[tex] x^{6} + [tex] x^{4} + [tex] x^{2} - [tex] x^{4} - [tex] x^{2} - 1

cancel out the same terms with opposite sign

[tex] x^{6} - 1