Question

Q-5) factorise the expressions and divide them as
directed
1) (y² +7y+10) ÷(y+5)​

Answer 1

$({y}^{2} + 7y + 10) \div (y + 5)$

$= \frac{( {y}^{2}+ 7y + 10)}{(y + 5)}$

$= \frac{ {y}^{2} + 5y + 2y + 10}{(y + 5)}$

$= \frac{y(y + 5) + 2(y + 5) }{(y + 5)}$

$= \frac{(y + 2)(y + 5)}{(y + 5)}$

$(y + 5) \: will \: \: cancel \: \: out$

$=y + 2$