Question

Y(x^4 +8) +6 (x^4 +8) factor out the GCF from the polynomial

Answer 1

`(y+6)(x^4 +8)`

Explanation:

Given expression:

`y(x^4 +8) +6 (x^4 +8)`

To factor out the greatest common factor (GCF) from the given expression, first identify the common factor in both terms.

The common factor in both terms is (x⁴ + 8).

Factoring out a common factor involves dividing each term by that common factor and then multiplying the entire expression by it.

Divide each term in the expression by the common factor (x⁴ + 8):

`(y(x^4 +8))/((x^4 +8)) +(6 (x^4 +8))/((x^4 +8))=y+6`

Now, multiply the result by the common factor:

`(y+6)(x^4 +8)`

Therefore, when we factor out the GCF from the polynomial y(x⁴ + 8) + 6(x⁴ + 8) we get:

`\Large\boxed{\boxed{(y+6)(x^4 +8)}}`