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Question
Simplify the following algebraic expression.
6m+3n2−8n2+2n
Simplify the following algebraic expression.
6m+3n2−8n2+2n
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Solution
The correct option is C −5n2+2n+6m
A polynomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd and so on.
We group together the like terms and simplify the given algebraic expression 6m+3n2−8n2+2n to write it in standard form of polynomial as follows:
6m+3n2−8n2+2n=(3n2−8n2)+2n+6m=−5n2+2n+6m
Hence, 6m+3n2−8n2+2n=−5n2+2n+6m.
A polynomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd and so on.
We group together the like terms and simplify the given algebraic expression 6m+3n2−8n2+2n to write it in standard form of polynomial as follows:
6m+3n2−8n2+2n=(3n2−8n2)+2n+6m=−5n2+2n+6m
Hence, 6m+3n2−8n2+2n=−5n2+2n+6m.
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