Question

Qual a forma reduzida da expressão (5x-4) 2x. (5x + 4)​

Answer 1

$\large\boxed{\begin{array}{l}\underline{\sf Produto\,da\,soma\,pela\,diferenc_{\!\!,}a}\\\rm (a+b)\cdot(a-b)=a^2-b^2\\\rm (5x-4)\cdot2x\cdot(5x+4)=2x\cdot(5x-4)\cdot(5x+4)\\\rm 2x\cdot (5x-4)\cdot(5x+4)=2x\cdot[(5x)^2-4^2]\\\rm 2x\cdot(5x+4)\cdot(5x-4)=2x\cdot(25x^2-16)\\\rm 2x\cdot(5x+4)\cdot(5x-4)=50x^3-32x\end{array}}$