Question

4. (3x + 2)(x2 – 2x – 1)

Answer 1

Answer:

Expand

(

3

x

+

2

)

(

2

x

−

1

)

(3x+2)(2x-1) using the FOIL Method.

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Apply the distributive property.

3

x

(

2

x

−

1

)

+

2

(

2

x

−

1

)

3x(2x-1)+2(2x-1)

Apply the distributive property.

3

x

(

2

x

)

+

3

x

⋅

−

1

+

2

(

2

x

−

1

)

3x(2x)+3x⋅-1+2(2x-1)

Apply the distributive property.

3

x

(

2

x

)

+

3

x

⋅

−

1

+

2

(

2

x

)

+

2

⋅

−

1

3x(2x)+3x⋅-1+2(2x)+2⋅-1

Simplify and combine like terms.

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Simplify each term.

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6

x

2

−

3

x

+

4

x

−

2

6x2-3x+4x-2

Add

−

3

x

-3x and

4

x

4x.

Answer 2

Answer:

${\huge{\sf{\blue{answer}}}}$

(3x + 2)(x² – 2x – 1)

3x (x² - 2x - 1 ) + 2 ( x² - 2x - 1 )

3x³ - 6x² - 3x + 2x² - 4x - 2

3x³ - 4x² - 7x - 2

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