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

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.
Answer:
[tex]25 - 4x^8[/tex]
Step-by-step explanation:
1) [tex](5 - 2x^4) (5 + 2x^4)[/tex]
Simplify using [tex](a - b)(a + b) = a^{2} - b^{2}[/tex]
2) [tex]5^{2} - (2x^4)^{2}[/tex]
Evaluate the power
3) [tex]25 - (2x^4)^{2}[/tex]
4) [tex]25 - 4x^8[/tex]