Question

Divide y2+7y+10/(y+5)

Answer 1

Answer:

Step-by-step explanation:

= (y² + 7y +10) ÷ (y + 5)

= (y + 2)(y + 5) ÷ (y + 5)

= (y + 2)

Answer 2

Answer:

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

Step-by-step explanation:

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

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

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

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

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

/* After cancellation, we get*/

$= y+2$

Therefore,

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

$\green {=y+2}$

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