Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which of the following is an equivalent form of \newline(2x+3)(7x6)(2x+3)-(7x-6)?\newlineChoose 11 answer:\newline(A) 5x3-5x-3\newline(B) 5x+9-5x+9\newline(C) 4x4x\newline(D) 9x39x-3

Full solution

Q. Which of the following is an equivalent form of \newline(2x+3)(7x6)(2x+3)-(7x-6)?\newlineChoose 11 answer:\newline(A) 5x3-5x-3\newline(B) 5x+9-5x+9\newline(C) 4x4x\newline(D) 9x39x-3
  1. Distribute negative sign: Subtract the second expression from the first expression by distributing the negative sign across the second expression. This means we change the sign of each term inside the parentheses that is being subtracted.\newline(2x+3)(7x6)=2x+37x+6(2x + 3) - (7x - 6) = 2x + 3 - 7x + 6
  2. Combine like terms: Combine like terms by adding or subtracting the coefficients of the same variable and the constant terms. 2x7x+3+6=5x+92x - 7x + 3 + 6 = -5x + 9
  3. Check answer choices: Check the answer choices to see which one matches the simplified expression.\newlineThe correct answer is (B) 5x+9-5x + 9.

More problems from Sum of finite series starts from 1