Multiplying Special Case Polynomials

Front

What is the product of (x + a)(x - a)?

Back

The product is x² - a², which is the difference of squares.

Front

What is the product of (x + b)(x + b)?

Back

The product is x² + 2bx + b², which is the square of a binomial.

Front

What is the product of (x - c)(x - c)?

Back

The product is x² - 2cx + c², which is the square of a binomial.

Front

What is the formula for the square of a binomial (x + a)²?

Back

The formula is x² + 2ax + a².

Front

What is the formula for the square of a binomial (x - a)²?

Back

The formula is x² - 2ax + a².

Front

What is the product of (x + 12)(x - 12)?

Back

The product is x² - 144, which is the difference of squares.

Front

What is the product of (x - 6)²?

Back

The product is x² - 12x + 36.

Front

How do you expand (x + 3)(x + 3)?

Back

You apply the formula for the square of a binomial: (x + 3)² = x² + 6x + 9.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

What is the significance of recognizing special case polynomials?

Back

Recognizing special case polynomials allows for quicker and more efficient factoring and expansion.