Questions: In the indicated operation by removing the parentheses and combining like terms.
[
(-3 x^2+2 x-5)-(-7 x^2+1)
]
Transcript text: n the indicated operation by removing the parentheses and combining like terms.
\[
\left(-3 x^{2}+2 x-5\right)-\left(-7 x^{2}+1\right)
\]
Solution
Solution Steps
Step 1: Remove the Parentheses
Start by removing the parentheses. Remember to distribute the negative sign to each term inside the second set of parentheses:
(−3x2+2x−5)−(−7x2+1)=−3x2+2x−5+7x2−1
Step 2: Combine Like Terms
Combine the terms that have the same variable and exponent:
−3x2+7x2+2x−5−1
Step 3: Simplify the Expression
Perform the arithmetic operations on the like terms:
(−3x2+7x2)+2x+(−5−1)=4x2+2x−6