Question

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Use the quadratic expression 25x2−y2 to answer the questions.

A: Which statement describes the correct method to factor the quadratic expression?

B: What are the factors of the quadratic expression?

Select one answer for question A, and select two answers for question B.

B: (5x+5y)
B: (5x−y)
B: (x−5y)
B: (5x+5y)
B: (x+5y)
B: (5x+y)
A: This quadratic expression can be factored by using the difference of squares pattern.
A: This quadratic expression can be factored by using the perfect square trinomial pattern.
A: This quadratic expression can be factored by finding the correct pair of binomial factors.

Answer 1

see explanation

Explanation:

25x² - y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Thus

25x² - y²

= (5x)² - y²

= (5x - y)(5x + y)← in factored form