Question

(y²+7y+10)÷(y+5) divide and solve​

Answer 1

We first factories y² + 7y + 10

By middle term splitting

y² + 7y + 10

= y² + 2y + 5y + 10

= ( y² + 2y ) + (5y + 10)

= y (y + 2) + 5 (y+2)

Taking (y+2) common,

= ( y + 2) (y + 5)

Now dividing,

( y² + 7y + 10 )/ ( y + 5 )

= y² + 7y + 10/ (y + 5)

= (y+2) (y+5)/ (y+5)

= (y+2) * (y+5)/ (y+5)

= (y+2) (answer) .