Which of the following expressions is equivalent to (5x2−6x+7)−(3x3+4x2−8) ?Choose 1 answer:(A) −3x3+x2−6x−1(B) −3x3+x2−6x+15(C) −2x3−6x+15(D) −2x3−6x−1
Q. Which of the following expressions is equivalent to (5x2−6x+7)−(3x3+4x2−8) ?Choose 1 answer:(A) −3x3+x2−6x−1(B) −3x3+x2−6x+15(C) −2x3−6x+15(D) −2x3−6x−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.(5x2−6x+7)−(3x3+4x2−8)=5x2−6x+7−3x3−4x2+8
Combine Like Terms: Combine like terms.−3x3+(5x2−4x2)−6x+(7+8)−3x3+x2−6x+15
Check Answer Choices: Check the answer choices to see which one matches our result.The correct answer is (B) −3x3+x2−6x+15.
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