Question
Add. \( \left(3 b^{2}-8 g^{2}+11 h^{2}\right)+\left(-13 b^{2}+5 g^{2}-3 h^{2}\right) \) \( \left(3 b^{2}-8 g^{2}+11 h^{2}\right)+\left(-13 b^{2}+5 g^{2}-3 h^{2}\right)=\square \)
Ask by Barker Harris. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( -10b^{2}-3g^{2}+8h^{2} \)
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
The Deep Dive
To combine the two expressions, we need to add the coefficients of like terms: 1. For \( b^{2} \): \( 3 - 13 = -10 \) 2. For \( g^{2} \): \( -8 + 5 = -3 \) 3. For \( h^{2} \): \( 11 - 3 = 8 \) Putting it all together, we get: \[ -10 b^{2} - 3 g^{2} + 8 h^{2} \] So, the final answer is: \[ \left(3 b^{2}-8 g^{2}+11 h^{2}\right)+\left(-13 b^{2}+5 g^{2}-3 h^{2}\right) = -10 b^{2} - 3 g^{2} + 8 h^{2} \]