GOOD AFTERNOON
CLASS
Opening Prayer for Class (2021) - HIRAYA TV (1).mp4
Opening Prayer for Class (2021) - HIRAYA TV (1).mp4
Opening Prayer for Class (2021) - HIRAYA TV (1).mp4
Opening Prayer for Class (2021) - HIRAYA TV (1).mp4
Opening Prayer for Class (2021) - HIRAYA TV (1).mp4
Opening Prayer for Class (2021) - HIRAYA TV (1).mp4
Opening Prayer for Class (2021) - HIRAYA TV (1).mp4
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Opening Prayer for Class (2021) - HIRAYA TV (1).mp4
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Opening Prayer for Class (2021) - HIRAYA TV (1).mp4
CHECKING OF
ATTENDANCE
What are you feeling
right now?
nuMultiplying rational.rgergl;;erbgergnreg
Review time!
MULTIPLYING & DIVIDING
RATIONAL ALGEBRAIC
EXPRESSIONS
MR. Jerremy Louis D. Mangalindan, LPT.
Mathematics Teacher
OBJECTIVES:
β€’ Students will be able to multiply and divide rational
numbers
β€’ Students will develop strategies to identify and
correct errors in calculations, ensuring accurate
and simplified results.
HOW TO MULTIPLY
RATIONAL EXPRESSIONS?
β€’ Operations like multiplication and
division are very common in
fractions.
β€’ These operations can also be
performed to rational expressions.
β€’ To obtain the product of two or
more rational expressions, we get
the product of the numerators as
well as the product of the
denominators of the given
expressions.
β€’ Rational expressions are multiplied
in a similar manner as multiplying
rational numbers.
β€’ The rational expressions must be
factored first before multiplying
them so that common factors can
be cancelled.
nuMultiplying rational.rgergl;;erbgergnreg
Multiply & simplify:
EXAMPLE
1.
πŸβˆ™πŸ‘βˆ™πŸ“βˆ™ 𝒙 βˆ™ π’š βˆ™ π’š βˆ™ π’›βˆ™ 𝒛 βˆ™ 𝒛 βˆ™π’› βˆ™ 𝒛
πŸ‘βˆ™πŸβˆ™πŸβˆ™ 𝒙 βˆ™ 𝒙 βˆ™ π’š βˆ™ 𝒛 βˆ™ π’›βˆ™ 𝒛
ΒΏ
πŸ“ π’šπ’›πŸ
πŸπ’™
Multiply & simplify:
EXAMPLE
2.
𝒙 βˆ™(𝒙 βˆ’πŸ)(𝒙 βˆ’πŸ)βˆ™πŸ‘βˆ™πŸ‘
(𝒙 βˆ’πŸ)βˆ™πŸ‘βˆ™ 𝒙 βˆ™ 𝒙 βˆ™ 𝒙 (𝒙 βˆ’πŸ)
ΒΏ
πŸ‘
𝒙
𝟐
HOW TO DIVIDE RATIONAL
EXPRESSIONS?
β€’ In dividing rational expressions, we
multiply the numerator by the
reciprocal of the denominator.
Divide & simplify:
EXAMPLE
1. ΒΏ
π’™πŸ
+𝟐 𝒙 βˆ’ πŸ–
𝒙
𝟐
+πŸ’ 𝒙+πŸ‘
βˆ™
πŸ‘ 𝒙 +πŸ‘
𝒙 βˆ’ 𝟐
ΒΏ
( 𝒙+πŸ’) ( 𝒙 βˆ’πŸ)βˆ™πŸ‘( 𝒙+𝟏)
( 𝒙+𝟏)( 𝒙 +πŸ‘) βˆ™(𝒙 βˆ’ 𝟐)
ΒΏ
πŸ‘ ( 𝒙+πŸ’ )
𝒙 +πŸ‘
𝒐𝒓
πŸ‘ 𝒙 +𝟏𝟐
𝒙+πŸ‘
Divide & simplify:
EXAMPLE
2. ΒΏ
π’™πŸ
βˆ’πŸ” 𝒙+πŸ—
πŸ’ 𝒙 βˆ’πŸπŸ
βˆ™
𝟏
( 𝒙 βˆ’πŸ‘)
ΒΏ
( 𝒙 βˆ’πŸ‘) ( 𝒙 βˆ’πŸ‘)βˆ™πŸ
πŸ’( 𝒙 βˆ’πŸ‘)βˆ™( 𝒙 βˆ’πŸ‘)
ΒΏ
𝟏
πŸ’
REVIEW:
nuMultiplying rational.rgergl;;erbgergnreg
Think-Pair-share
Multiply & simplify:
1.
Divide & simplify:
2.
Multiply & simplify:
EXAMPLE
3.
ΒΏ
𝒂𝒃 (π’‚βˆ’πŸπ’ƒ) βˆ™( 𝒂+𝟐 𝒃) (π’‚βˆ’πŸ 𝒃)
( π’‚βˆ’ πŸπ’ƒ)( π’‚βˆ’πŸπ’ƒ) βˆ™π’‚π’ƒ
ΒΏ
(𝒂+𝟐 𝒃)
𝟏
ΒΏ( 𝒂+𝟐 𝒃)
Divide & simplify:
Answer
3.
Homework
THANK YOU

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