Practice Expansion Intuition in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Understanding algebraic expansion as the process of applying the distributive property to multiply out factors and remove parentheses.

Open up the parentheses: (x + 2)(x + 3) becomes x^2 + 3x + 2x + 6 = x^2 + 5x + 6.

Example 1

easy
Expand (x + 3)(x + 5).

Example 2

medium
Expand (2x - 3)^2.

Example 3

easy
Expand (x - 2)(x + 7).

Example 4

medium
Expand (a + b)^2.