Question

To factor 4x² - 25, you can first rewrite the expression as:

A. (2x - 5)²
B. (2x)²-(5)²
c. (x)²-(2)²
D. None of the above

Answer 1

B. (2x)²- (5)²

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The difference of squares is a special case in algebra where a² - b² can be factored into (a - b)(a + b).

In this case, the expression can be rewritten as:

• (2x)²-(5)²,

which directly matches to the algebraic form a² - b².

This allows us to apply the formula and factor the expression as follows:

• (2x - 5)(2x + 5)

So, the correct answer to the given choices is B.