Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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


Expand And Combine Like Terms 5 2x4 5 2x4 class=

Sagot :

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]