Question

Which expressions are equivalent to 25x4 −64? Select three options. 25x4 + 40x − 40x − 64 25x4 + 13x − 13x − 64 (5x2 + 8)(5x2 − 8) (x2 + 13)(x2 – 13) (5x2 – 8)2

Answer 1

Answer:

a, b, c

25x4 + 40x − 40x − 64, 25x4 + 13x − 13x − 64, (5x2 + 8)(5x2 − 8)

Step-by-step explanation:

Answer 2

The expressions that are equivalent to 25x⁴ - 64 are; Options A, B and C

How to simplify the Algebra?

We want to find the expression equal to 25x⁴ - 64

A) 25x⁴ + 40x − 40x − 64 = 25x⁴ - 64

B) 25x⁴ + 13x − 13x − 64 = 25x⁴ - 64

C) (5x² + 8)(5x² - 8)

Expanding the bracket gives;

⇒ 25x⁴ - 64

D) (x² + 13)(x² - 13)

Expanding the bracket gives;

⇒ x⁴ - 169

E) (5x² - 8)²

Expanding the bracket gives;

⇒ 25x⁴ - 5x² + 64

Looking at all the answers, only options A, B and C are correct

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