Example

Combining Like Terms in 2x2+3x+7+x2+4x+52x^2 + 3x + 7 + x^2 + 4x + 5

To simplify the expression 2x2+3x+7+x2+4x+52x^2 + 3x + 7 + x^2 + 4x + 5, follow the standard procedure for combining like terms. First, identify the matching parts: the x2x^2-terms are 2x22x^2 and x2x^2, the xx-terms are 3x3x and 4x4x, and the constants are 77 and 55. Next, rearrange the expression so these like terms are grouped together: 2x2+x2+3x+4x+7+52x^2 + x^2 + 3x + 4x + 7 + 5. Finally, combine them by adding the coefficients of each group to get 3x23x^2 from the x2x^2-terms, 7x7x from the xx-terms, and 1212 from the constants. The fully simplified expression is 3x2+7x+123x^2 + 7x + 12.

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Updated 2026-04-21

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