Exploring the Difference of Squares

What is the formula for factoring an expression using the Difference of Squares method?

• (a + b)(a - b)

• (a + b)(a + b)

• (a - b)(a - b)

• (a + b)(a + c)

Which of the following is a requirement for using the Difference of Squares method?

• The expression must have a multiplication operation.

• The expression must have an addition operation.

• The expression must have a subtraction operation.

• The expression must have a division operation.

How do you find the square root of a variable with an even exponent?

• Divide the exponent by two.

• Subtract one from the exponent.

• Add one to the exponent.

• Multiply the exponent by two.

What is the square root of x^6?

• x^3

• x^2

• x^4

• x^5

If you have the expression x^2 - 49, what are the factors using the Difference of Squares method?

• (x - 7)(x - 7)

• (x + 7)(x - 6)

• (x + 7)(x + 7)

• (x + 7)(x - 7)

What should you always check for before applying the Difference of Squares method?

• Even coefficients

• Odd exponents

• Common factors

• Prime numbers

In the expression 2x^2 - 9, what are the square roots of the terms?

• 2x and 3

• x and 9

• 2 and 3

• x^2 and 9

What is the first step when factoring an expression with a GCF?

• Divide the terms by the GCF

• Add the GCF to the terms

• Square root the terms

• Multiply the terms by the GCF

In the expression x^12 - 81, what are the factors after applying the Difference of Squares method twice?

• (x^6 + 9)(x^6 - 9)

• (x^6 + 9)(x^3 - 3)(x^3 + 3)(x^6 - 9)

• (x^6 + 3)(x^6 - 3)

• (x^6 + 9)(x^3 - 3)(x^3 + 3)

When should you stop taking the square root of terms in the Difference of Squares method?

• After the third square root

• After putting it into the formula

• After the second square root

• After the first square root