3. Multiply (2x - 3) by (x2 - 2x + 1) a. 2x3+ 7x2 - 8x + 3
b. 2x3- 7x2 + 8x - 3
c. X+ 7x2 - 6x + 3
d. 3x - 7x2 + 8x - 3

2 - 7 + 8x -3

Step-by-step explanation:

To multiply a binomial (2 terms) by a trinomial (3 terms):

Multiply the first term of the binomial by the each term of the trinomial.

Multiply the second term of the binomial by each term of the trinomial.

Combine the expressions and simplify.

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

(2x * ) + (2x * -2x) + (2x * 1)

(2) + (-4) + (2x)

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

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

(-3) + (6x) + (-3)

[2 + -4 + 2x] + [-3 + 6x + -3]

2 - 7 + 8x -3

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for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: