Expression Simplification Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

hard
Simplify 2x2+3x−x2+5x−42x^2 + 3x - x^2 + 5x - 4.

Solution

  1. 1
    Group: (2x2−x2)+(3x+5x)+(−4)=x2+8x−4(2x^2 - x^2) + (3x + 5x) + (-4) = x^2 + 8x - 4.
  2. 2
    Note: x2x^2 and xx are NOT like terms.

Answer

x2+8x−4x^2 + 8x - 4
Only terms with the same variable AND the same exponent are like terms. x2x^2 and xx cannot be combined.

About Expression Simplification

Rewriting an algebraic expression into an equivalent but reduced or more organized form by combining like terms and applying identities.

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More Expression Simplification Examples

Example 1 easy

Simplify [formula].

Example 2 medium

Simplify [formula].

Example 3 easy

Simplify [formula].

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