Question
Find the sum of \( 9 x^{2}+6 \) and \( 2 x^{2}-x-10 \)
Ask by Deleon Powers. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The sum is \(11x^{2}-x-4\).
Solution
Calculate or simplify the expression \( 9x^2+6+2x^2-x-10 \).
Simplify the expression by following steps:
- step0: Solution:
\(9x^{2}+6+2x^{2}-x-10\)
- step1: Add the terms:
\(11x^{2}-4-x\)
The sum of \(9x^{2}+6\) and \(2x^{2}-x-10\) is \(11x^{2}-4-x\).
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Simplify this solution Bonus Knowledge
To find the sum of the two expressions \( 9x^{2}+6 \) and \( 2x^{2}-x-10 \), we simply combine like terms. First, we write the two expressions together: \[ (9x^{2}+6) + (2x^{2}-x-10) \] Now, distribute and combine like terms: 1. For \( x^2 \) terms: \( 9x^2 + 2x^2 = 11x^2 \) 2. For \( x \) terms: There is only \( -x \) from the second expression. 3. For constant terms: \( 6 - 10 = -4 \) Putting it all together, we have: \[ 11x^{2} - x - 4 \] Thus, the sum of the expressions is: \[ \boxed{11x^{2} - x - 4} \]
