Factoring Difference of Perfect Squares I

To factor using Difference of Perfect Squares, each expression needs to have (check all that apply):

• Both terms as perfect squares

• Both terms are positive numbers

• There is a "difference" (meaning a negative sign)

• Variables with odd exponents

Tags

CCSS.HSA.APR.C.4

Which of these can factor using difference of two squares?

• x² - 49

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

Tags

CCSS.HSA.APR.C.4

Which one is false about the difference of two squares?

• We can factor because there is addition sign.

• We can factor because there is a perfect squared number (Example: x², 25, 49)

• We can factor because there is minus sign.

Tags

CCSS.HSA.APR.C.4

Factor x²-25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Tags

CCSS.HSA.APR.C.4

Which is an example of difference of two perfect squares?

• ( x³ - 4)

• ( x² - 3)

• ( x² + 4)

• ( x² - 4)

Tags

CCSS.HSA.APR.C.4

• ( 2X + 6 ) (2X - 6 )

• ( 2X - 6 ) ( 2X - 6 )

• ( 2X - 9 ) ( 2X + 4 )

• ( 2X + 6 ) ( 2X + 6 )

Tags

CCSS.HSA.APR.C.4

One of the factor of (a ² - 1 ) is

• ( a- 1)

• ( a - 2)

• Both

• None of the above

Tags

CCSS.HSA.APR.B.2

We can't factor using difference of two square this

49x² + 4y². Why?

• Because 4 is not a perfect cubed number.

• Because 4 is not a perfect squared number.

• Because 49 is not a perfect squared number.

• Because we can't factor using difference of two squares if it is addition sign.

Tags

CCSS.HSA.APR.C.4

In ( d² - 121) , the square root of 121 is

• 11

• 12

• 21

• none of the above

x² - 9

• (x + 3)²

• (x + 3) (x - 3)

• (x - 3)²

• x + 3(x - 3)

Tags

CCSS.HSA.APR.C.4