Factoring: GCF & Difference of Two Squares

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

What is the difference of two squares formula?

Back

The difference of two squares can be factored using the formula: a^2 - b^2 = (a - b)(a + b).

Tags

CCSS.HSA.APR.C.4

Front

Can the expression a^2 + b^2 be factored using the difference of two squares?

Back

No, the expression a^2 + b^2 cannot be factored using the difference of two squares.

Tags

CCSS.HSA.APR.C.4

Front

What is an example of a difference of two squares?

Back

An example is 16 - x^2, which can be factored as (4 - x)(4 + x).

Tags

CCSS.HSA.APR.C.4

Front

What types of expressions can be factored using the GCF?

Back

Expressions that have common factors among all terms can be factored using the GCF.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common.

Front

What is the first step in factoring an expression using the GCF?

Back

The first step is to identify the GCF of all the terms in the expression.

Front

Is 144x^2 - 49y^2 a difference of two squares?

Back

Yes, 144x^2 - 49y^2 can be factored as (12x - 7y)(12x + 7y).

Tags

CCSS.HSA.APR.C.4

Front

What is the significance of the sign in the difference of two squares?

Back

The difference of two squares specifically requires a subtraction sign between the two squared terms.

Tags

CCSS.7.EE.A.1

Front

Can you factor 25 + 36 using the difference of two squares?

Back

No, 25 + 36 cannot be factored using the difference of two squares because it involves addition.

Tags

CCSS.HSA.APR.C.4