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Multiply Expressions Multiply the following expressions 2x(3x – 4) Use the distributive property 2x(3x) – 2x(4) Multiply 6x² - 8x (-2)(5a – 4) Use the distributive property -2(5a) – (-2)(4) Multiply -10a – (-8) Simplify using the definition of subtraction -10a + 8
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Objectives• Multiply expressions containing
variables. • Divide expressions containing
variables.
Page 96 Multiplying and Dividing Expressions
Why?When solving equations, you often need to multiply or divide not only single numbers, but also larger expressions that may include variables.
Glossary Terms2.7 Multiplying and Dividing Expressions
4² = 16base
exponent
power
x²
Multiply ExpressionsMultiply the following expressions
2x(3x – 4)Use the distributive property2x(3x) – 2x(4)
Multiply6x² - 8x
(-2)(5a – 4)Use the distributive property-2(5a) – (-2)(4)Multiply-10a – (-8) Simplify using the definition of subtraction-10a + 8
Multiply ExpressionsSimplify the following
(5x + 3y – 7) – 3(2x – y)Use the definition of subtraction to rewrite the expression as an addition problem.
(5x + 3y – 7) + (-3)(2x – y)
Use the distributive property5x + 3y – 7 – 6x + 3y
Combine like terms(5x – 6x) +(3y + 3y) - 7
-x + 6y - 7
Divide ExpressionsTo divide expressions, rewrite using the rules for fractions. Then use what you know about canceling to simplify.
Dividing an expression:a + b c = a
c + bc
2 + 3 7 = 2
7 + 37
2x + 6 2 = 2x
2 + 62
Simplify the following2x² + 6 2
Split up the fraction2x² 2 + 6
2
Simplify each fractionx² + 3
Key SkillsMultiply and divide expressions.
b. (5x + 9) – 2(x + 3)
(5x + 9) –2(x) + (–2)(3)
5x + 9 – 2x – 6
Distributive Property
Group like terms.
3x + 3 Simplify.
Key SkillsMultiply and divide expressions.
4k2 + k + 9
Rule for Dividing an Expression
Simplify.
c. 12k2 + 3k + 27
312k2
33k3
273
+ +
TOC
AssignmentPage 101 -103
# 18 – 48 even, 62 – 86 even