Smart Math guide · Algebra Smarts

Spot a Difference of Squares

The identity a²−b²=(a−b)(a+b) turns some hard products and factorizations into easy ones.

All levelsWorked example includedSelf-check included
The method

How to use it

  1. Recognize two perfect squares separated by subtraction.
  2. Take each square root.
  3. Write the product of sum and difference.
Worked example

See it in action

101²−99²=(101−99)(101+99)=2×200=400.

Check your thinking

How to verify it

Direct squares: 10201−9801=400.