Question
Simplify. \[ \left(7 w^{2}+3\right)-\left(4 w^{2}-w+2\right) \]
Ask by Turnbull Cummings. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \(3w^{2}+w+1\).
Solution
Calculate or simplify the expression \( (7w^{2}+3)-(4w^{2}-w+2) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(7w^{2}+3\right)-\left(4w^{2}-w+2\right)\)
- step1: Remove the parentheses:
\(7w^{2}+3-\left(4w^{2}-w+2\right)\)
- step2: Remove the parentheses:
\(7w^{2}+3-4w^{2}+w-2\)
- step3: Subtract the terms:
\(3w^{2}+1+w\)
The simplified expression is \(3w^{2}+1+w\).
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Simplify this solution Mind Expander
To simplify the expression \( \left(7 w^{2}+3\right)-\left(4 w^{2}-w+2\right) \), we start by distributing the negative sign across the second set of parentheses: \[ = 7w^2 + 3 - 4w^2 + w - 2 \] Next, we combine like terms. We can group the \(w^2\) terms, the \(w\) terms, and the constant terms: - For the \(w^2\) terms: \(7w^2 - 4w^2 = 3w^2\) - For the \(w\) terms: \(0 + w = w\) (there's no other \(w\) term to combine with) - For the constant terms: \(3 - 2 = 1\) Putting it all together, we get: \[ 3w^2 + w + 1 \] Thus, the simplified expression is: \[ \boxed{3w^2 + w + 1} \]
