Purpose: To simplify monomials and find the GCF of several monomials.

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5.2 p. 189

• Purpose To simplify monomials and find the GCF
  of several monomials.
• Homework P. 192 1-51 odd

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Chalkboard Examples

• Simplify.
• 24 12 ? 2 2
• 36 12 ? 3 3
• Both 12s cancel to 1, leaving 2/3.

• Simplify.
• 16xy 2x ? 8y 8y
• 18x 2x ? 9 9
• Both 2xs cancel to 1, leaving 8y/9.

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Examples (cont.) Simplify

• x8 xxxxxxxx x4
• x4 xxxx
• 1. 4 xs cancel each other out.
• 2. 8 4 4

• b² bb 1
• b6 bbbbbb b4
• 1. The 2 bs on top cancel with 2 on the bottom.
• 2. 2 - 6 -4

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Examples (cont.)

• Find the GCF of 21x³y and 6x6y³
• Find what each monomial has in common.
• 3?7xxxy and 2?3xxxxxxyyy
• They each share a 3, 3 xs and 1 y.
• 3x³y is the GCF.

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Last Example

• Find the missing factor.
• 72h³k (-8hk)(?)
• What needs to be multiplied by -8hk to get 72h³k?
• Answer
• -9h²