Pregunta
Subtract the polynomials. \( (11 s+9 m-7 t)-(7 s+7 t-4 m) \) \( (11 s+9 m-7 t)-(7 s+7 t-4 m)=\square \)
Ask by Hanson Wheeler. in the United States
Feb 27,2025
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\( 4s + 13m - 14t \)
Solución
To subtract the polynomials, distribute the negative sign through the second polynomial:
(11 s + 9 m - 7 t) - (7 s + 7 t - 4 m)
= 11 s + 9 m - 7 t - 7 s - 7 t + 4 m
Now combine like terms:
- For s: 11 s - 7 s = 4 s
- For m: 9 m + 4 m = 13 m
- For t: -7 t - 7 t = -14 t
Thus, the result is 4 s + 13 m - 14 t.
So, (11 s + 9 m - 7 t) - (7 s + 7 t - 4 m) = 4 s + 13 m - 14 t.
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To subtract the polynomials, distribute the negative sign through the second polynomial: \[ (11s + 9m - 7t) - (7s + 7t - 4m) = 11s + 9m - 7t - 7s - 7t + 4m \] Now, combine like terms: 1. For \(s\): \(11s - 7s = 4s\) 2. For \(m\): \(9m + 4m = 13m\) 3. For \(t\): \(-7t - 7t = -14t\) Putting it all together, we get: \[ 4s + 13m - 14t = \square \] The final answer is \(4s + 13m - 14t\).
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