Question
Subtract \( -5 x^{2}-9 x-5 \) from \( 4 x^{2}-5 x+3 \) Answer Attempt i out of 2 1
Ask by Harmon Hobbs. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The result is \( 9x^{2}+4x+8 \).
Solution
Calculate or simplify the expression \( 4x^2-5x+3-(-5x^2-9x-5) \).
Simplify the expression by following steps:
- step0: Solution:
\(4x^{2}-5x+3-\left(-5x^{2}-9x-5\right)\)
- step1: Remove the parentheses:
\(4x^{2}-5x+3+5x^{2}+9x+5\)
- step2: Add the terms:
\(9x^{2}+4x+8\)
The result of subtracting \( -5x^{2}-9x-5 \) from \( 4x^{2}-5x+3 \) is \( 9x^{2}+4x+8 \).
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Simplify this solution Extra Insights
To subtract \( -5 x^{2}-9 x-5 \) from \( 4 x^{2}-5 x+3 \), you can write it as: \[ (4 x^{2}-5 x+3) - (-5 x^{2}-9 x-5) \] This simplifies to: \[ 4 x^{2} - 5 x + 3 + 5 x^{2} + 9 x + 5 \] Now, combine like terms: 1. Combine \( 4 x^{2} \) and \( 5 x^{2} \): \( 4 x^{2} + 5 x^{2} = 9 x^{2} \) 2. Combine \( -5 x \) and \( 9 x \): \( -5 x + 9 x = 4 x \) 3. Combine \( 3 \) and \( 5 \): \( 3 + 5 = 8 \) Thus, the final result is: \[ 9 x^{2} + 4 x + 8 \]
