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## Explanation & Answer

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Unit 5 Project

Simplify each expression.

1.

𝑎 2 −𝑎𝑏

3𝑎

𝑎−𝑏

÷ 15𝑏2

𝑎2 − 𝑎𝑏 𝑎 − 𝑏

÷

3𝑎

15𝑏2

2

𝑎 − 𝑎𝑏

( 3𝑎 )

=

𝑎−𝑏

(

)

15𝑏 2

2

𝑎 − 𝑎𝑏 15𝑏 2

=

∗

3𝑎

𝑎−𝑏

𝑎(𝑎 − 𝑏) 5𝑏 2

=

∗

𝑎

𝑎−𝑏

= 𝟓𝒃𝟐

2.

𝒙𝟐 −𝒚𝟐

𝒚𝟐

∗

𝒚𝟑

𝒚−𝒙

𝑥2 − 𝑦2

𝑦3

∗

𝑦2

𝑦−𝑥

(𝑥 2 − 𝑦 2 ) ∗ 𝑦^3

𝑦 2 ∗ (𝑦 − 𝑥)

(𝑥 2 − 𝑦 2 ) ∗ 𝑦

(𝑦 − 𝑥)

(𝑥 2 𝑦 − 𝑦 3 )

(𝑦 − 𝑥)

𝑦(𝑥 2 − 𝑦 2 )

(𝑦 − 𝑥)

𝑦(𝑥 + 𝑦)(𝑥 − 𝑦)

(𝑦 − 𝑥)

−𝒚(𝒙 + 𝒚)

3.

𝒙𝟐 −𝟏

𝒙𝟐 −𝟑𝒙−𝟏𝟎

𝒙𝟐 −𝟑𝒙+𝟐

𝒙𝟐 −𝟏𝟐𝒙+𝟑𝟓

𝑥2 − 1

2

= 𝑥 2− 3𝑥 − 10

𝑥 + 3𝑥 + 2

𝑥 2 − 12𝑥 + 35

(𝑥 − 1)(𝑥 + 1)

]

(𝑥 − 5)(𝑥 + 2)

=

(𝑥 + 1)(𝑥 + 2)

[

]

(𝑥 − 7)(𝑥 − 5)

[

=

(𝑥 − 1)(𝑥 + 1) (𝑥 − 7)(𝑥 �...

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