Question

Desenvolva os Produtos 5(x³+1)(x³+1)

Answer 1

Desenvolvendo a expressão:

$\mathsf{5\cdot \left(x^3+1\right)\cdot \left(x^3+1\right)}\\\mathsf{5\cdot \left(x^3+1\right)^2}$

Aplicando o quadrado da soma:

$\mathsf{\left(a+b\right)^2=a^2+2ab+b^2}$

Aplicando teremos:

$\mathsf{5\cdot \left(x^3+1\right)^2}\\\mathsf{5\cdot \left[\left(x^3\right)^2+\left(2\cdot x^3\cdot 1\right)+1^2\right]}\\\mathsf{5\cdot \left(x^6+2x^3+1\right)}\\\boxed{\mathsf{5x^6+10x^3+5}}$