Differences of Squares - Step by step :)

What is the formula for the difference of two squares?

• a^2 - b^2 = (a + b)(a - b)

• a^2 + b^2 = (a + b)(a - b)

• a^2 - b^2 = (a - b)^2

• a^2 + b^2 = (a - b)(a + b)

How do you factorize x^2 - 25 using the difference of two squares?

• (x + 5)(x - 5)

• (x - 5)^2

• (x + 25)(x - 25)

• (x + 5)^2

What is the factorization of 49 - p^2?

• (7 + p)^2

• (49 + p)(49 - p)

• (7 - p)^2

• (7 + p)(7 - p)

How is 16x^2 - 9y^2 factorized?

• (4x + 3y)^2

• (16x + 9y)(16x - 9y)

• (4x - 3y)^2

• (4x + 3y)(4x - 3y)

What does expanding (p + 5q)(p - 5q) demonstrate?

• It simplifies to p^2 + 25q^2

• It shows the formula is incorrect as terms do not cancel.

• It verifies the factorization by showing the middle terms cancel out.

• None of the above