Binomials with Special Products

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, which can be separated by a plus or minus sign.

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is calculated using the formula: a² + 2ab + b².

Front

What is the difference of squares formula?

Back

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

Front

What is the result of (n² - 5)(n² - 5)?

Back

The result is n⁴ - 10n² + 25.

Front

How do you expand (x + 3)²?

Back

To expand (x + 3)², use the formula: x² + 6x + 9.

Front

What are special products in algebra?

Back

Special products are specific patterns that arise when multiplying certain types of polynomials, such as squares of binomials and the difference of squares.

Front

What is the expanded form of (x + 2)(x - 2)?

Back

The expanded form is x² - 4.

Front

What is the pattern for the square of a binomial?

Back

The pattern for the square of a binomial is: (a + b)² = a² + 2ab + b².

Front

What is the significance of recognizing patterns in special products?

Back

Recognizing patterns in special products allows for quicker and more efficient multiplication of polynomials.

Front

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

Back

The formula is (a - b)² = a² - 2ab + b².