Math - Expressions

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Math expression structure

An algebraic expression is a combination of numbers, variables, operators, and constants, that represents a value.

Algebraic expression (wikipedia)


Simplifying and Combining Like Terms

Combining like terms example

You can simplify and combine like terms by grouping together the ones that are alike.

Examples

3x+5x2x8x2x6x3x + 5x - 2x\\ 8x - 2x\\ 6x

7x+4y2x+5y35x+4y+5y35x+9y37x + 4y - 2x + 5y - 3\\ 5x + 4y + 5y - 3\\ 5x + 9y - 3

x(2x+3)3(4x)2x2+3x12+3x2x2+6x12x(2x + 3) - 3(4 - x)\\ 2x^2 + 3x - 12 + 3x\\ 2x^2 + 6x - 12

2x(x+3)+3x28x+12x2+6x+3x28x+15x22x+12x(x + 3) + 3x^2 - 8x + 1\\ 2x^2 + 6x + 3x^2 - 8x + 1\\ 5x^2 -2x + 1

How to simplify a big expression by combining like terms (youtube)

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