Question

(i) (y2 +7y10)-(y+5)​

Answer 1

Step-by-step explanation:

Given

(y+5)

y

2

+7y+10

\* Find the factors of the numerator ,we get*/

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

(y+5)

(y

2

+5y+2y+10)

= \frac{[y(y+5)+2(y+5)]}{(y+5)}=

(y+5)

[y(y+5)+2(y+5)]

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

(y+5)

(y+5)(y+2)

/* After cancellation, we get*/

= y+2=y+2

Therefore,

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

(y+5)

(y

2

+7y+10)

\green {=y+2} =y+2