Question

Use the foil method to find the product. (X^2 + 6) (x^2 -2)

Answer 1

`A.\:x^4+4x^2-12`

Explanation:

The given binomial expression is

`(x^2+6)(x^2-2)`

Using the FOIL method, we have;

Firsts terms:
`x^2* x^2=x^4`

Outside terms:
`x^2* -2=-2x^2`

Inside terms:
`6* x^2=6x^2`

Last terms:
`6* -2=-12`

Putting all together gives;

`x^4-2x^2+6x^2-12`

This simplifies to;

`x^4+4x^2-12`

Answer 2

Choice A is the answer.

Explanation:

We have given an expression.

(x²+6)(x²-2)

We have to find product of given expression.

We use foil method to find the product.

Foil method is the sum of :

product of first terms

product of inner terms

product of outer terms

product of last terms.

(a+b)(c+d) = ac+ad+bc+bd

putting given values in above formula:

(x²+6)(x²-2) = (x²)(x²)+(x²)(-2)+(6)(x²)+(6)(-2)

(x²+6)(x²-2) = x⁴-2x²+6x²-12

Adding like terms, we have

(x²+6)(x²-2) = x⁴+4x²-12 which is the answer.