Expanding Binomials and FOIL Method

The video tutorial covers three special cases of multiplying binomials: (a + b)^2, (a - b)^2, and (a + b)(a - b). It explains each case using the FOIL method and provides numerical examples to illustrate the patterns. The tutorial emphasizes the importance of recognizing these patterns to simplify binomial multiplication.

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

• a^2 - 2ab + b^2

• a^2 - b^2

• a^2 + 2ab + b^2

• a^2 + b^2

Using the FOIL method, what is the first step in expanding (x + 7)^2?

• Multiply x by 7

• Multiply 7 by 7

• Multiply x by x

• Multiply 7 by x

What is the result of the inside terms when using the FOIL method on (x + 7)^2?

• 49

• x^2

• 14x

• 7x

What is the result of the outer terms when using the FOIL method on (x + 7)^2?

• 14x

• 7x

• 49

• x^2

What is the result of the last terms when using the FOIL method on (x + 7)^2?

• 49

• x^2

• 7x

• 14x

What is the middle term in the expansion of (a + b)^2?

• a^2

• 2ab

• ab

• b^2

In the expression (x + 7)^2, what is the coefficient of the x term after expansion?

• 14

• 1

• 7

• 49

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

• a^2 + b^2

• a^2 - 2ab + b^2

• a^2 - b^2

• a^2 + 2ab + b^2

What is the result of the middle term in the expansion of (x - 3)^2?

• -6x

• 6x

• 3x

• -3x

What is the last term in the expansion of (x - 3)^2?

• -6

• 6

• -9

• 9