Question

Find out following divisions.

i) (y2
+7y+10) ÷ (y+5)

ii) 5pq (p
2
–q
2
) ÷ 2p (p + q)





I want it urgent ​

Answer 1

Answer:

(i )y+2

(ii) 2.5q(p-q)

Step-by-step explanation:

(i. )

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

(ii.)

$\frac{5pq( {p}^{2} - {q}^{2}) }{2p(p + q)} \\ = \frac{5pq( {p} + q) (p - q) }{2p(p + q)} \\ = 2.5q(p - q)$