8-8 Special Products B

Front

What is the formula for the square of a binomial, (a + b)^2?

Back

(a + b)^2 = a^2 + 2ab + b^2.

Front

What is the formula for the square of a binomial, (a - b)^2?

Back

(a - b)^2 = a^2 - 2ab + b^2.

Front

What is the formula for the product of the sum and difference of two terms, (a + b)(a - b)?

Back

(a + b)(a - b) = a^2 - b^2.

Front

How do you expand (x + y)^2 using the binomial theorem?

Back

(x + y)^2 = x^2 + 2xy + y^2.

Front

What is the result of expanding (3y - 1)^2?

Back

9y^2 - 6y + 1.

Front

What is the result of expanding (y + 5)^2?

Back

y^2 + 10y + 25.

Front

What is the result of expanding (2x - 5)(2x + 5)?

Back

4x^2 - 25.

Front

What is the significance of the coefficients in the expansion of (a + b)^2?

Back

The coefficients represent the number of ways to choose terms from the binomial.

Front

What is the expanded form of (4a^2 + b)^2?

Back

16a^4 + 8a^2b + b^2.

Front

What is the first step in expanding a binomial expression?

Back

Identify the terms in the binomial and apply the appropriate formula.