Multiply the polynomials. (3 - c²d) (4 - 4c²d)

Step-by-step explanation:

Multiply

(

3

−

c

2

d

)

(

4

−

4

c

2

d

)

Expand

(

3

−

c

2

d

)

(

4

−

4

c

2

d

)

using the FOIL Method.

Apply the distributive property.

3

(

4

−

4

c

2

d

)

−

c

2

d

(

4

−

4

c

2

d

)

Apply the distributive property.

3

⋅

4

+

3

(

−

4

c

2

d

)

−

c

2

d

(

4

−

4

c

2

d

)

Apply the distributive property.

3

⋅

4

+

3

(

−

4

c

2

d

)

−

c

2

d

⋅

4

−

c

2

d

(

−

4

c

2

d

)

Simplify and combine like terms.

Simplify each term.

Multiply

3

by

4

.

12

+

3

(

−

4

c

2

d

)

−

c

2

d

⋅

4

−

c

2

d

(

−

4

c

2

d

)

Multiply

−

4

by

3

.

12

−

12

(

c

2

d

)

−

c

2

d

⋅

4

−

c

2

d

(

−

4

c

2

d

)

Multiply

4

by

−

1

.

12

−

12

c

2

d

−

4

c

2

d

−

c

2

d

(

−

4

c

2

d

)

Multiply

c

2

by

c

2

by adding the exponents.

Move

c

2

.

12

−

12

c

2

d

−

4

c

2

d

−

(

c

2

c

2

)

d

(

−

4

d

)

Use the power rule

a

m

a

n

=

a

m

+

n

to combine exponents.

12

−

12

c

2

d

−

4

c

2

d

−

c

2

+

2

d

(

−

4

d

)

Add

2

and

2

.

12

−

12

c

2

d

−

4

c

2

d

−

c

4

d

(

−

4

d

)

Multiply

d

by

d

by adding the exponents.

Move

d

.

12

−

12

c

2

d

−

4

c

2

d

−

c

4

(

d

⋅

d

)

⋅

−

4

Multiply

d

by

d

.

12

−

12

c

2

d

−

4

c

2

d

−

c

4

d

2

⋅

−

4

Multiply

−

4

by

−

1

.

12

−

12

c

2

d

−

4

c

2

d

+

4

c

4

d

2

Subtract

4

c

2

d

from

−

12

c

2

d

.

12

−

16

c

2

d

+

4

c

4

d

2

Move

12

.

−

16

c

2

d

+

4

c

4

d

2

+

12

Reorder

−

16

c

2

d

and

4

c

4

d

2

.

4

c

4

d

2

−

16

c

2

d

+

12

there is no question content here, but you for the free points! : d