Multiply Binomials

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 distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (also known as the FOIL method): First, Outer, Inner, Last.

Front

What does FOIL stand for in binomial multiplication?

Back

FOIL stands for First, Outer, Inner, Last, which are the pairs of terms you multiply when multiplying two binomials.

Front

What is the result of multiplying (a + b)(c + d)?

Back

The result is ac + ad + bc + bd.

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is equal to a² + 2ab + b².

Front

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

Back

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

Front

How do you simplify (p - 8)²?

Back

To simplify (p - 8)², expand it to p² - 16p + 64.

Front

What is the area of a rectangle with length (2x + 3) and width (4x - 1)?

Back

The area is (2x + 3)(4x - 1) = 8x² + 10x - 3.

Front

What is the product of (n - 5)(n - 1)?

Back

The product is n² - 6n + 5.