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Musya8 [376]
1 year ago
5

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

Mathematics
1 answer:
ZanzabumX [31]1 year ago
8 0
<h2><u>Simplification</u></h2>

<h3>Expand and simplify: (-7y - 8) (y - 4)</h3>

To expand an expression, use FOIL method.

<h3><u>F - First</u></h3>

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

<u>-7y</u> and <u>y</u> are the first terms in <u>each expression</u>.

<u>(-7y)(y) = -7y²</u>

<h3><u>O - Outside </u></h3>

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

<u>-7y</u> is the first term in the <u>first expression</u>

<u>-4</u> is the last term of the <u>second expression</u>

<u>(-7y)(-4) = 28y</u>

<h3><u>I - Inside</u></h3>

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

<u>-8</u> is the last term in the <u>first expression</u>

<u>y</u> is the first term in the <u>second expression</u>

<u>(-8)(y) = -8y</u>

<h3><u>L - Last</u></h3>

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

<u>-8</u> is the last term of the <u>first expression</u>

<u>-4</u> is the last term of the <u>second expression</u>

<u>(-8)(-4) = 32</u>

Combine all simplified terms.

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

<u>Answer:</u>

  • <u>-7y + 20y + 32</u>

Wxndy~~

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