Multiplying 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 (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 expanding the product of two binomials.

Front

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

Back

The result is a² - b², known as the difference of squares.

Front

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

Back

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

Front

What is the expanded form of (2x + 8)(5x + 1)?

Back

The expanded form is 10x² + 42x + 8.

Front

What is the result of multiplying (3x - 1)(x + 5)?

Back

The result is 3x² + 14x - 5.

Front

What is the simplified form of (x - 7)(x + 7)?

Back

The simplified form is x² - 49.

Front

What is the product of (3x + 2)(2x + 4)?

Back

The product is 6x² + 16x + 8.