176k views
3 votes
What is -2(3x+12y-5-17x-16y+4) simplified?

A) -36x - 56y - 18
B) 34x - 28y + 2
C) -20x - 4y - 10
D) -38x - 44y - 2

1 Answer

2 votes

Final answer:

After distributing -2 to each term and combining like terms, the expression simplifies to 28x + 8y + 2, which is not listed in the provided options. There might be an error in the given problem or answer choices.

Step-by-step explanation:

To simplify the expression -2(3x+12y-5-17x-16y+4), first distribute the -2 to each term inside the parentheses:

  • -2 × 3x = -6x
  • -2 × 12y = -24y
  • -2 × (-5) = +10
  • -2 × (-17x) = +34x
  • -2 × (-16y) = +32y
  • -2 × 4 = -8

Combine like terms:

  • -6x + 34x = 28x
  • -24y + 32y = 8y
  • 10 - 8 = 2

So, the expression simplifies to 28x + 8y + 2, which is not one of the options provided. It appears there may be a mistake in the options or in the initial problem statement. Please double-check the original expression and the answer options.

User Ket
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories