Desenvolva os Produtos 5(x³+1)(x³+1)
Soluções para a tarefa
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Desenvolvendo a expressão:
Aplicando o quadrado da soma:
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}}](https://tex.z-dn.net/?f=%5Cmathsf%7B5%5Ccdot+%5Cleft%28x%5E3%2B1%5Cright%29%5E2%7D%5C%5C%5Cmathsf%7B5%5Ccdot+%5Cleft%5B%5Cleft%28x%5E3%5Cright%29%5E2%2B%5Cleft%282%5Ccdot+x%5E3%5Ccdot+1%5Cright%29%2B1%5E2%5Cright%5D%7D%5C%5C%5Cmathsf%7B5%5Ccdot+%5Cleft%28x%5E6%2B2x%5E3%2B1%5Cright%29%7D%5C%5C%5Cboxed%7B%5Cmathsf%7B5x%5E6%2B10x%5E3%2B5%7D%7D "\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}}")
Aplicando o quadrado da soma:
Aplicando teremos:
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