Mathematics
Take m2 + m + 4 from -m2 + 3m + 6 and the result from m2 + m + 1.
Algebraic Expressions
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Answer
Difference between m2 + m + 4 and - m2 + 3m + 6
- m2 + 3m + 6 - (m2 + m + 4)
= - m2 + 3m + 6 - m2 - m - 4
Arrange the polynomial with like terms together and combine them.
= (- m2 - m2) + (3m - m) + (6 - 4)
= - 2m2 + 2m + 2
And, the difference between - 2m2 + 2m + 2 and m2 + m + 1
(m2 + m + 1) - (- 2m2 + 2m + 2)
= m2 + m + 1 + 2m2 - 2m - 2
Arrange the polynomial with like terms together and combine them.
= ( m2 + 2m2) + (m - 2m) + (1 - 2)
= 3m2 - m - 1
Hence, the result is 3m2 - m - 1.
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