HW Flashcard 3.1 Products, Special Cases

Front

What is the formula for the difference of squares?

Back

The difference of squares formula is: a² - b² = (a - b)(a + b).

Front

How do you expand the expression (a + b)(c + d)?

Back

To expand (a + b)(c + d), use the distributive property: ac + ad + bc + bd.

Front

What is the result of expanding (u - 5v)(u + 5v)?

Back

The result is u² - 25v², which is an application of the difference of squares.

Front

What is the first step in expanding the expression (3x + 2)(2x + 4)?

Back

The first step is to apply the distributive property to multiply each term in the first binomial by each term in the second binomial.

Front

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

Back

The expanded form is 6x² + 16x + 8.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

How do you identify the coefficients in a polynomial?

Back

Coefficients are the numerical factors in front of the variables in a polynomial.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.