Factoring a Difference of Squares

In the expression x^2 - 81, what is the square root of 81?

• 10

• 9

• 8

• 7

Tags

CCSS.HSA.APR.C.4

What is the first step in identifying if an expression can be factored as a difference of squares?

• Check if it has a plus sign between the terms.

• Check if it has exactly two terms and a minus sign between them.

• Check if it has a common factor.

• Check if it has more than two terms.

Tags

CCSS.HSA.APR.C.4

When factoring -m^2 + 100, what should be done first?

• Combine like terms.

• Reorder the terms.

• Square both terms.

• Factor out the negative sign.

Tags

CCSS.HSA.APR.C.4

What is the factored form of m^2 - 100?

• (m + 5)(m - 5)

• (m + 10)(m - 10)

• (m + 20)(m - 20)

• (m + 50)(m - 50)

Tags

CCSS.HSA.APR.C.4

What is the square root of 16 in the expression 16n^2 - 25?

• 5

• 4

• 3

• 2

Tags

CCSS.HSA.APR.C.4

What is the common factor in the expression 8y^2 - 200?

• 2

• 4

• 8

• 10

Tags

CCSS.HSA.APR.C.4

What is the factored form of y^2 - 25?

• (y + 5)(y - 5)

• (y + 10)(y - 10)

• (y + 15)(y - 15)

• (y + 20)(y - 20)

Tags

CCSS.HSA.APR.C.4

In the expression 4a^2 - 9b^2, what is the square root of 9?

• 3

• 4

• 2

• 5

Tags

CCSS.HSA.APR.C.4

What is the factored form of 4a^2 - 9b^2?

• (4a + 9b)(4a - 9b)

• (2a + b)(2a - b)

• (2a + 3b)(2a - 3b)

• (a + b)(a - b)

Tags

CCSS.8.EE.C.7B

Given the area x^2 - 169 and length x - 13, what is the width of the rectangle?

• x + 13

• x + 14

• x - 14

• x - 13

Tags

CCSS.8.EE.C.7B