Question

Perform the following polynomial multiplications:

a. (2x - 2)(2k - 3)
b. (31 + 2)(n + 2)
c. (b + 3)(6 - 3)
d. (8 + 8r)

Answer 1

The polynomial multiplications are performed using the distributive property. The results are 4xk - 6x - 4k + 6, 3ln + 6l + 2n + 4, and 3b + 9 for parts a, b, and c respectively. For part d, the question is incomplete as it requires a second polynomial.

Step-by-step explanation:

To perform the requested polynomial multiplications, we will use the distributive property to multiply each term in the first parenthesis by each term in the second parenthesis.

a. (2x - 2)(2k - 3)

Multiplying each term:

Combining like terms:

4xk - 6x - 4k + 6

b. (3l + 2)(n + 2)

Multiplying each term:

Combining like terms:

3ln + 6l + 2n + 4

c. (b + 3)(6 - 3)

Multiplying each term:

Combining like terms:

6b - 3b + 18 - 9

Simplifying further:

3b + 9

d. Multiplication needs a second polynomial to perform multiplication.