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

The three expressions that the given expression is equivalent to are, (5x^2-8)(5x^2+8), $25x^4 + 40x - 40x - 64$ and $25x^4 + 13x - 13x - 64$

Difference of two square

The standard expression for difference of two square is given as:

a^2- b^2 = (a-b)(a+b)

Given the equation

$25x^4 -64$

This can also be expressed as:

$(5x^2)^2-8^2\\(5x^2-8)(5x^2+8)$

This expression is also equivalent to $25x^4 + 40x - 40x - 64$ and $25x^4 + 13x - 13x - 64$

Learn more on difference of two square here: brainly.com/question/3189867

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