Question

Expand and combine like terms. (5 - 2x^4) (5 + 2x^4) =

Answer 1

Answer:

$25 - 4x^8$

Step-by-step explanation:

1)  $(5 - 2x^4) (5 + 2x^4)$

Simplify using $(a - b)(a + b) = a^{2} - b^{2}$

2)  $5^{2} - (2x^4)^{2}$

Evaluate the power

3)  $25 - (2x^4)^{2}$

4)  $25 - 4x^8$

Answer 2

Answer:

25 - 4x^8

Step-by-step explanation:

Use FOIL here.

Combine the first terms of both expressions.

5 * 5 = 25

Combine the outer terms of both expressions.

2x^4 * 5 = 10x^4

Combine the inner terms of both expressions.

-2x^4 * 5 = -10x^4

Combine the last terms of both expressions.

-2x^4 * 2x^4 = -4x^8

(a^x * a^y = a^(x+y).)

Now add those terms.

25 + 10x^4 - 10x^4 - 4x^8

Combine like terms to get:

25 - 4x^8.