Question

divide (factorization chapter) plz (ii) 15(x² +10x+21)(y+1) ÷ 5(y +1)(x+7)​

Answer 1

Given: $15(x+3)(x+7)(y+1)\div 5(y+1)(x+7)$

As we see x²+10x+21=(x+3)(x+7) it is divisible by x+7.

$\frac{15(x+3)(x+7)(y+1)}{5(x+7)(y+1)} =3(x+3)\times \frac{(x+7)(y+1)}{(x+7)(y+1)}$

$=3(x+3)$ so the answer is 3(x+3).