Question
Multiply the following :
$\left(x^2-5 x+6\right),(2 x+7)$
$\left(x^2-5 x+6\right),(2 x+7)$
✓
Answer
We have, $\left(x^2-5 x+6\right)$ and $(2 x+7)$
$\therefore\left(x^2-5 x+6\right)(2 x+7)$
$=x^2(2 x+7)-5 x(2 x+7)+6(2 x+7)$
$=2 x^3+7 x^2-10 x^2-35 x+12 x+42$
$=2 x^3-3 x^2-23 x+42$
$\therefore\left(x^2-5 x+6\right)(2 x+7)$
$=x^2(2 x+7)-5 x(2 x+7)+6(2 x+7)$
$=2 x^3+7 x^2-10 x^2-35 x+12 x+42$
$=2 x^3-3 x^2-23 x+42$
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