Mastering Difference of Squares Factoring

What is the main topic of this video tutorial?

• Common Factoring

• Difference of Squares

• Sum of Squares

• Trinomial Factoring

What must an expression look like to use the difference of squares method?

• It must be a single term.

• It must have three terms.

• It must have a subtraction sign between two terms.

• It must have an addition sign between two terms.

What is the first step in factoring an expression using the difference of squares method?

• Take the square root of the first and last term.

• Multiply the terms.

• Add the terms together.

• Divide the terms.

In the first example, what is the factored form of x^2 - 9?

• (x + 3)(x + 3)

• (x + 3)(x - 3)

• (x - 3)(x - 3)

• (x - 3)(x + 9)

Why can't the expression x^2 + 25 be factored using the difference of squares method?

• Because it is already factored.

• Because it is a sum of squares.

• Because it has a subtraction sign.

• Because it has three terms.

What does the graph of x^2 + 25 look like?

• It crosses the x-axis at two points.

• It crosses the x-axis at one point.

• It does not cross the x-axis.

• It is a straight line.

In the third example, what should you check before applying the difference of squares method?

• If there is a common factor.

• If the terms are multiplied.

• If the terms are divided.

• If the terms are added.

What is the greatest common factor in the expression 54x^2 - 6?

• 12

• 3

• 6

• 9

After factoring out the common factor in the third example, what is the resulting expression?

• 6(9x^2 - 1)

• 6(9x^2 + 1)

• 3(9x^2 + 1)

• 3(9x^2 - 1)

What is the final factored form of 54x^2 - 6?

• 6(x + 3)(x - 3)

• 6(3x + 1)(3x - 1)

• 6(x + 1)(x - 1)

• 6(3x + 3)(3x - 3)