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✖️ Multiplying Binomials

Expand products like (x + 3)(x − 2) using the grid method or FOIL, then collect like terms to land on a clean quadratic expression.

3
lessons
~15 min
to learn
🔢 Math
subject
Teens
level
Start the course →

What you’ll learn

  1. What Is a BinomialUnderstand what a binomial is and the rule for multiplying two of them.A binomial has two terms, like x + 3. Multiplying two binomials is like finding the area of a rectangle: multiply every term in the first bracket by every term in the second, producing four products to collect.
  2. The Grid MethodUse a grid (area model) to expand a product of two binomials.The grid method places each term on the side of a 2×2 box, so every cell is one product. Filling (x + 3)(x + 2) gives x², 2x, 3x and 6; collecting the like x-terms yields x² + 5x + 6.
  3. FOIL and SimplifyingApply FOIL, handle negative terms, and collect like terms.FOIL orders the same four products as the grid: First, Outer, Inner, Last. Keep minus signs attached to their terms, then combine like terms — for example (x − 2)(x + 5) = x² + 3x − 10.

Questions this course answers

How many terms does a binomial have?

'Bi' means two — a binomial has two terms.

When you multiply two binomials, how many products do you get before simplifying?

Two terms times two terms make four products.

Grounded in trusted sources

  • Khan Academy — Algebra
  • OpenStax — Elementary Algebra 2e
  • BBC Bitesize — Maths
  • Cuemath — Algebra

Every Wunder lesson is built from real, reputable sources — never invented.

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