Add/Subtract Polynomials

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Simplify $7\left(7v^{2}+6v-6\right)-\left(v^{2}+3v+2\right)$

**Answer**

$\;\;\;7\left(7v^{2}+6v-6\right)-\left(v^{2}+3v+2\right)$

$=49v^{2}+42v-42-v^{2}-3v-2$

$=(49v^{2}-v^{2})+(42v-3v)+(-42-2)$

$=48v^{2}+39v-44$