Resolva o trinomino a^2 + 10ab + 21b^2
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Olá Milena, boa tarde!
![\\ \mathsf{a^2 + 10ab + 21b^2 =} \\\\ \mathsf{(a^2 + 10ab + 25b^2) - 4b^2 =} \\\\ \mathsf{(a + 5b)^2 - 4b^2 =} \\\\ \mathsf{\left [ (a + 5b) + 2b \right ] \cdot \left [ (a + 5b) - 2b \right ] =} \\\\ \mathsf{(a + 5b + 2b) \cdot (a + 5b - 2b) =} \\\\ \boxed{\mathsf{(a + 7b) \cdot (a + 3b)}}](https://tex.z-dn.net/?f=%5C%5C+%5Cmathsf%7Ba%5E2+%2B+10ab+%2B+21b%5E2+%3D%7D+%5C%5C%5C%5C+%5Cmathsf%7B%28a%5E2+%2B+10ab+%2B+25b%5E2%29+-+4b%5E2+%3D%7D+%5C%5C%5C%5C+%5Cmathsf%7B%28a+%2B+5b%29%5E2+-+4b%5E2+%3D%7D+%5C%5C%5C%5C+%5Cmathsf%7B%5Cleft+%5B+%28a+%2B+5b%29+%2B+2b+%5Cright+%5D+%5Ccdot+%5Cleft+%5B+%28a+%2B+5b%29+-+2b+%5Cright+%5D+%3D%7D+%5C%5C%5C%5C+%5Cmathsf%7B%28a+%2B+5b+%2B+2b%29+%5Ccdot+%28a+%2B+5b+-+2b%29+%3D%7D+%5C%5C%5C%5C+%5Cboxed%7B%5Cmathsf%7B%28a+%2B+7b%29+%5Ccdot+%28a+%2B+3b%29%7D%7D "\\ \mathsf{a^2 + 10ab + 21b^2 =} \\\\ \mathsf{(a^2 + 10ab + 25b^2) - 4b^2 =} \\\\ \mathsf{(a + 5b)^2 - 4b^2 =} \\\\ \mathsf{\left [ (a + 5b) + 2b \right ] \cdot \left [ (a + 5b) - 2b \right ] =} \\\\ \mathsf{(a + 5b + 2b) \cdot (a + 5b - 2b) =} \\\\ \boxed{\mathsf{(a + 7b) \cdot (a + 3b)}}")
Boa questão!!
Espero ter ajudado!
Boa questão!!
Espero ter ajudado!
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