Question

Evaluate $39y^3(50y^2-98)÷26y^2(5y+7)$

Answer 1

$39y^3(50y^2-98)÷26y^2(5y+7)$
$=\frac{3\times 13\times y\times y\times y\times 2(25y^2-49)}{2\times 13\times y\times y(5y+7)}$
$=\frac{3\times 13\times y\times y\times y\times 2\left[\right(5y{)}^2-\left(7{)}^2\right]}{2\times 13\times y\times y(5y+7)}$
$=\frac{3\times 13\times y\times y\times y\times 2(5y-7)(5y+7)}{2\times 13\times y\times y(5y+7)}$
$=3y(5y-7)$