(2a + 2b)elevado a 2 _a.(a-2b) forma reduzida?
DanJR:
A propósito, Beatrez1, o "underline" em sua expressão está representando o quê?
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Olá!
![\\ \mathsf{(2a + 2b)^2 - a \cdot (a - 2b) =} \\\\ \mathsf{\left [ 2(a + b) \right ]^2 - (a^2 - 2ab) =} \\\\ \mathsf{4(a + b)^2 - a^2 + 2ab =} \\\\ \mathsf{4(a^2 + 2ab + b^2) - a^2 + 2ab =} \\\\ \mathsf{4a^2 + 8ab + 4b^2 - a^2 + 2ab =} \\\\ \boxed{\mathsf{3a^2 + 10ab + 4b^2}}](https://tex.z-dn.net/?f=%5C%5C+%5Cmathsf%7B%282a+%2B+2b%29%5E2+-+a+%5Ccdot+%28a+-+2b%29+%3D%7D+%5C%5C%5C%5C+%5Cmathsf%7B%5Cleft+%5B+2%28a+%2B+b%29+%5Cright+%5D%5E2+-+%28a%5E2+-+2ab%29+%3D%7D+%5C%5C%5C%5C+%5Cmathsf%7B4%28a+%2B+b%29%5E2+-+a%5E2+%2B+2ab+%3D%7D+%5C%5C%5C%5C+%5Cmathsf%7B4%28a%5E2+%2B+2ab+%2B+b%5E2%29+-+a%5E2+%2B+2ab+%3D%7D+%5C%5C%5C%5C+%5Cmathsf%7B4a%5E2+%2B+8ab+%2B+4b%5E2+-+a%5E2+%2B+2ab+%3D%7D+%5C%5C%5C%5C+%5Cboxed%7B%5Cmathsf%7B3a%5E2+%2B+10ab+%2B+4b%5E2%7D%7D "\\ \mathsf{(2a + 2b)^2 - a \cdot (a - 2b) =} \\\\ \mathsf{\left [ 2(a + b) \right ]^2 - (a^2 - 2ab) =} \\\\ \mathsf{4(a + b)^2 - a^2 + 2ab =} \\\\ \mathsf{4(a^2 + 2ab + b^2) - a^2 + 2ab =} \\\\ \mathsf{4a^2 + 8ab + 4b^2 - a^2 + 2ab =} \\\\ \boxed{\mathsf{3a^2 + 10ab + 4b^2}}")
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