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Free Multiplying Binomials Worksheet

Ten binomial products to expand — FOIL practice — with an answer key in standard trinomial form.

Answer key included
Name: Date:
Multiplying Binomials
1.
(x+4)(x+4)(x + 4)(x + 4)
2.
(x−1)(x−3)(x - 1)(x - 3)
3.
(x−1)(x−7)(x - 1)(x - 7)
4.
(x+6)(x+5)(x + 6)(x + 5)
5.
(x+6)(x+1)(x + 6)(x + 1)
6.
(x+1)(x−4)(x + 1)(x - 4)
7.
(x−2)(x+9)(x - 2)(x + 9)
8.
(x−4)(x−3)(x - 4)(x - 3)
9.
(x+6)(x+8)(x + 6)(x + 8)
10.
(x+8)(x+3)(x + 8)(x + 3)
Andy · alldayeverydaymath.com
Name: Answer KeyDate:
Multiplying Binomials
1.
(x+4)(x+4)(x + 4)(x + 4)
Answer: x2+8x+16x^2 + 8x + 16
2.
(x−1)(x−3)(x - 1)(x - 3)
Answer: x2−4x+3x^2 - 4x + 3
3.
(x−1)(x−7)(x - 1)(x - 7)
Answer: x2−8x+7x^2 - 8x + 7
4.
(x+6)(x+5)(x + 6)(x + 5)
Answer: x2+11x+30x^2 + 11x + 30
5.
(x+6)(x+1)(x + 6)(x + 1)
Answer: x2+7x+6x^2 + 7x + 6
6.
(x+1)(x−4)(x + 1)(x - 4)
Answer: x2−3x−4x^2 - 3x - 4
7.
(x−2)(x+9)(x - 2)(x + 9)
Answer: x2+7x−18x^2 + 7x - 18
8.
(x−4)(x−3)(x - 4)(x - 3)
Answer: x2−7x+12x^2 - 7x + 12
9.
(x+6)(x+8)(x + 6)(x + 8)
Answer: x2+14x+48x^2 + 14x + 48
10.
(x+8)(x+3)(x + 8)(x + 3)
Answer: x2+11x+24x^2 + 11x + 24
Andy · alldayeverydaymath.com

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About this worksheet

Expanding (x + a)(x + b) cleanly is the setup skill for factoring, completing the square, and everything quadratic. Signs vary across problems so students practice the middle-term arithmetic that actually causes the errors.

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