Question

Expand and simplify: (-7y - 8) (y - 4)

Answer 1

Simplification

Expand and simplify: (-7y - 8) (y - 4)

To expand an expression, use FOIL method.

F - First

• Multiply the first term in each expression inside the parentheses.

-7y and y are the first terms in each expression.

(-7y)(y) = -7y²

O - Outside

• Next is to multiply the terms outside. (The first term in the first expression and the last term in the second expression)

-7y is the first term in the first expression

-4 is the last term of the second expression

(-7y)(-4) = 28y

I - Inside

• The next step is to multiply the terms inside. (The last term in the first expression and the first term in the last expression)

-8 is the last term in the first expression

y is the first term in the second expression

(-8)(y) = -8y

L - Last

• Last step is to multiply the last term in each expression.

-8 is the last term of the first expression

-4 is the last term of the second expression

(-8)(-4) = 32

Combine all simplified terms.

• -7y² + 28y - 8y + 32
• -7y + 20y + 32

Answer:

• -7y + 20y + 32

Wxndy~~