Question

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

Answer 1

Answer:

Choice A is the answer.

Step-by-step 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.

Answer 2

Answer:

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

Step-by-step explanation:

The given binomial expression is

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

Using the FOIL method, we have;

Firsts terms: $x^2\times x^2=x^4$

Outside terms: $x^2\times -2=-2x^2$

Inside terms: $6\times x^2=6x^2$

Last terms: $6\times -2=-12$

Putting all together gives;

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

This simplifies to;

$x^4+4x^2-12$