Factoring Differences of Squares with Leading Coefficients

What is the initial expression that needs to be factored?

• 45x squared minus 125

• 30x squared minus 75

• 50x squared minus 100

• 60x squared minus 150

What is the form of the expression a squared minus b squared?

• a times b

• a plus b times a minus b

• a minus b times a plus b

• a squared plus b squared

What is the difference of squares formula used for?

• Dividing two squares

• Multiplying two squares

• Adding two squares

• Factoring expressions of the form a squared minus b squared

What common factor is identified in the expression 45x squared minus 125?

• 15

• 10

• 20

• 5

What is 45x squared divided by 5?

• 7x squared

• 10x squared

• 8x squared

• 9x squared

What is 125 divided by 5?

• 25

• 15

• 20

• 30

What is the purpose of factoring out a common factor in an expression?

• To change the variables

• To add more terms

• To make the expression more complex

• To simplify the expression

What is the value of 'a' if 9x squared is a perfect square?

• 5x

• 2x

• 3x

• 4x

What is the value of 'b' if 25 is a perfect square?

• 3

• 5

• 4

• 6

What is the final factored form of the expression 45x squared minus 125?

• 5 times (2x plus 5) times (2x minus 5)

• 5 times (3x plus 4) times (3x minus 4)

• 5 times (3x plus 5) times (3x minus 5)

• 5 times (4x plus 5) times (4x minus 5)