Understanding Binomial Squares

The video tutorial explains how to square binomials in two variables without using a special formula. It demonstrates the process through two examples: squaring 5x + 3y and 2m - 7n. The tutorial uses distribution and the FOIL method to find the product and simplify the expressions. It also shows how to use a formula for verification. The key focus is on understanding the multiplication of binomials and combining like terms.

What is the first step in squaring a binomial?

• Multiply the binomial by itself

• Use the FOIL method

• Apply the quadratic formula

• Divide the binomial by its conjugate

When multiplying two binomials, how many products do you get?

• Two

• Three

• Four

• Five

What does the 'O' in the FOIL method stand for?

• Outer

• Only

• Over

• Other

What is the result of 5x * 3y in the binomial multiplication?

• 15y^2

• 15xy

• 15x^2

• 15x

What is the final simplified form of (5x + 3y)^2?

• 25x^2 + 30xy + 9y^2

• 25x^2 + 15xy + 9y^2

• 25x^2 + 30xy + 15y^2

• 25x^2 + 9y^2

In the formula method, what is the value of 'a' for (5x + 3y)?

• 3y

• 5x

• 15xy

• 9y^2

What is the first step in squaring the binomial (2m - 7n)?

• Use the quadratic formula

• Distribute each term in the first binomial into the second

• Multiply each term by itself

• Add the terms

What is the result of 2m * -7n in the binomial multiplication?

• 14mn

• 14n^2

• -14mn

• -14m^2

What is the final simplified form of (2m - 7n)^2?

• 4m^2 + 14mn + 49n^2

• 4m^2 + 28mn + 49n^2

• 4m^2 - 28mn + 49n^2

• 4m^2 - 14mn + 49n^2

What is the result of -7n * -7n in the binomial multiplication?

• -49n^2

• 14n^2

• -14n^2

• 49n^2