Question

Question 5(vii)
Factorise the expressions and divide them as directed
$39y^3(50y^2-98)÷26y^2(5y+7)$

Answer 1

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