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

User Narazana
by
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1 Answer

26 votes
26 votes

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~~

User Almeida
by
3.1k points
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