Question

What is the GCF of the expressions 8(y-2)(y + 3)^4 and 12(y + 3)^4(y + 2)

Answer 1

Given:

The expressions

`8\mleft(y-2\mright)\mleft(y+3\mright)^4\text{ }and\text{ }12\mleft(y+3\mright)^4\mleft(y+2\mright)`

To find the GCF:

Both the expression is having some factors in common.

That is,

`4*(y+3)^4`

Hence, the GCF is,

`4(y+3)^4_{}`