Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which of the following expressions is equivalent to 
(5x^(2)-6x+7)-(3x^(3)+4x^(2)-8) ?
Choose 1 answer:
(A) 
-3x^(3)+x^(2)-6x-1
(B) 
-3x^(3)+x^(2)-6x+15
(C) 
-2x^(3)-6x+15
(D) 
-2x^(3)-6x-1

Which of the following expressions is equivalent to (5x26x+7)(3x3+4x28) \left(5 x^{2}-6 x+7\right)-\left(3 x^{3}+4 x^{2}-8\right) ?\newlineChoose 11 answer:\newline(A) 3x3+x26x1 -3 x^{3}+x^{2}-6 x-1 \newline(B) 3x3+x26x+15 -3 x^{3}+x^{2}-6 x+15 \newline(C) 2x36x+15 -2 x^{3}-6 x+15 \newline(D) 2x36x1 -2 x^{3}-6 x-1

Full solution

Q. Which of the following expressions is equivalent to (5x26x+7)(3x3+4x28) \left(5 x^{2}-6 x+7\right)-\left(3 x^{3}+4 x^{2}-8\right) ?\newlineChoose 11 answer:\newline(A) 3x3+x26x1 -3 x^{3}+x^{2}-6 x-1 \newline(B) 3x3+x26x+15 -3 x^{3}+x^{2}-6 x+15 \newline(C) 2x36x+15 -2 x^{3}-6 x+15 \newline(D) 2x36x1 -2 x^{3}-6 x-1
  1. Subtract and Change Signs: Subtract the second polynomial from the first one by changing the signs of the second polynomial and combining like terms.\newline(5x26x+7)(3x3+4x28)=5x26x+73x34x2+8(5x^{2}-6x+7) - (3x^{3}+4x^{2}-8) = 5x^{2}-6x+7 - 3x^{3} - 4x^{2} + 8
  2. Combine Like Terms: Combine like terms.\newline3x3+(5x24x2)6x+(7+8)-3x^{3} + (5x^{2} - 4x^{2}) - 6x + (7 + 8)\newline3x3+x26x+15-3x^{3} + x^{2} - 6x + 15
  3. Check Answer Choices: Check the answer choices to see which one matches our result.\newlineThe correct answer is (B) 3x3+x26x+15-3x^{3} + x^{2} - 6x + 15.

More problems from Find derivatives of using multiple formulae