How to factor a binomial by factoring out the GCF as well as by difference of two squares

The video tutorial explains how to factor a binomial using the difference of two squares method. It begins by identifying the greatest common factor (GCF) and factoring it out. The tutorial then focuses on recognizing the difference of two squares and applying the formula a^2 - b^2 = (a + b)(a - b) to factor the expression completely. The process is demonstrated step-by-step, ensuring a clear understanding of each part of the factoring process.

What is the greatest common factor of the numbers -3 and 48?

• 1

• 3

• -3

• 48

After factoring out the GCF, what expression is left from the binomial?

• X^2 + 16Y^2

• X^2 - 16Y^2

• X^2 + 4Y^2

• X^2 - 4Y^2

Why is the term -16Y^2 negative after factoring out the GCF?

• Because 48 divided by -3 is 16

• Because 48 divided by 3 is 16

• Because 48 divided by 3 is -16

• Because 48 divided by -3 is -16

What is the formula used to factor a difference of squares?

• (a - b)(a + b)

• (a + b)(a - b)

• (a - b)(a - b)

• (a + b)(a + b)

What are the factors of the expression X^2 - 16Y^2 using the difference of squares method?

• (X + 4Y)(X - 4Y)

• (X - 4Y)(X - 4Y)

• (X + 4Y)(X + 4Y)

• (X - 4Y)(X + 4Y)