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Polynomials practice

Multiplying binomials worksheets

Expand ten products of two binomials. Choose among four expression structures, form every term pair and collect like terms with a separate worked key.

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Multiply each term of the first binomial by each term of the second. Add all four products and collect any matching terms.

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Follow the structure before calculating

A term is a product of a coefficient and variable powers. Addition and subtraction separate terms; parentheses organize whole polynomials. Keep those boundaries clear before counting terms, finding degrees or applying an operation.

Each customized student worksheet and its answer key use the same generated questions. Start with a focused set of structures, check the worked reasoning, then generate a fresh set when the learner is ready.

Learning objective

What this activity builds

Generate all four term products before collecting like terms.

Worked example

Expand (2x + 3)(x − 4).

2x² − 5x − 12.

The four products are 2x², −8x, 3x and −12. The middle terms combine to −5x.

Teaching notes

Make the practice count

  • Use a two-by-two box if the four products are hard to track.
  • Write all products before combining terms.
  • Check the constant product and leading term separately.
  • A product can simplify to fewer terms after cancellation.

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Math SheetNameScore/ 10TeacherDateMultiplying BinomialsMultiply each pair of binomials and combine like terms.1.(6y-3)(8y-2)2.(x+9)(x+6)3.(6x-7)(x-6)4.(m+3)(5m+2)5.(8z+8)(z-7)6.(9n+2)(8n-3)7.(m-3)(7m+7)8.(m-3)(m-5)9.(6n+6)(n+4)10.(p+6)(p+7)math-sheet.comPage 1 / 1

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