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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]

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