Question
Find the result of the subtraction: \( (9m^{2} + 6m) - (4m^{2} + 10m - 1) \)
Ask by Flynn Riley. in South Africa
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 5m^{2} - 4m + 1 \)
Solution
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The Deep Dive
To solve the expression \( (9m^{2} + 6m) - (4m^{2} + 10m - 1) \), we first distribute the negative sign across the second polynomial: \[ 9m^2 + 6m - 4m^2 - 10m + 1 \] Now, we combine like terms. For the \( m^2 \) terms: \[ 9m^2 - 4m^2 = 5m^2 \] For the \( m \) terms: \[ 6m - 10m = -4m \] And lastly, we have the constant term: \[ + 1 \] Putting it all together, we have: \[ 5m^2 - 4m + 1 \] Thus, the result of the subtraction is: \[ \boxed{5m^2 - 4m + 1} \]