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Select the correct answer. Simplify the polynomial expression. 3x(-2+7)-5(x -1)(4x-3)

A. -26x2 + 56x - 15
B. 14x2 - 14 + 15x
C. -26x2 + 21x - 15
D. 2x2 + 14x - 2

1 Answer

5 votes

Answer:

-20x^2 + 56x - 15

Explanation:

3x(−2+7)−5(x−1)(4x−3)

Add −2 and 7 to get 5.

3x×5−5(x−1)(4x−3)

Multiply 3 and 5 to get 15.

15x−5(x−1)(4x−3)

Use the distributive property to multiply −5 by x−1.

15x+(−5x+5)(4x−3)

Apply the distributive property by multiplying each term of −5x+5 by each term of 4x−3.

15x−20x^2+15x+20x−15

Combine 15x and 20x to get 35x.

15x−20x^2+35x−15

Combine 15x and 35x to get 50x.

50x−20x^2−15

Swap terms.

-20x^2 + 56x - 15

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