1.

Divide 15 (y+3) (y^2-16) by 5 (y^2-y-12)​

Answer»

Answer:

3(y+4)

Step-by-step explanation:

15(y+3)(y  

2

−16)÷5(y  

2

−y−12)

y  

2

−16=(y)  

2

−(4)  

2

 

=(y+4)(y−4)

y  

2

−y−12=y  

2

−4y+3y−12

=y(y−4)+3(y−4)

=(y−4)(y+3)

Now,

5(y  

2

−y−12)

15(y+3)(y  

2

−16)

​

 

=  

5(y−4)(y+3)

15×(y+3)(y+4)(y−4)

​

 

=3(y+4)


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