Algebraic Manipulation Math Example 1

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

Example 1

easy
Simplify 2(x+3)−x2(x + 3) - x.

Solution

  1. 1
    Step 1: Distribute: 2x+6−x2x + 6 - x.
  2. 2
    Step 2: Combine like terms: x+6x + 6.
  3. 3
    Check: At x=1x = 1: 2(4)−1=72(4) - 1 = 7 and 1+6=71 + 6 = 7 ✓

Answer

x+6x + 6
Algebraic manipulation is the process of rewriting expressions using distribution and combining like terms to reach a simpler or more useful equivalent form.

About Algebraic Manipulation

Algebraic manipulation is the process of rewriting expressions or equations into equivalent forms to reveal structure or solve for unknowns.

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More Algebraic Manipulation Examples

Example 2 medium

Solve for [formula]: [formula].

Example 3 easy

Simplify [formula].

Example 4 medium

Rearrange [formula] to solve for [formula].

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