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FOIL Method Worksheet

Answers

This page shows the final answer to each problem.  You may return to the Worksheet Page to quiz yourself or have your answers checked automatically.  If you would like assistance with a particular problem, click the " step-by-step" link for an in depth solution.

1
(1 + x)(3 + 2x)
Answer
3 + 5x + 2x2
step-by-step
2
(2 + 5x)(11 + 12x)
Answer
22 + 79x + 60x2
step-by-step
3
(x + -3)(10x + -20)
Answer
10x2 + -50x + 60
step-by-step
4
(x2 + -4)(x2 + -4)
Answer
x4 + -8x2 + 16
step-by-step
5
(x + y)(x + y)
Answer
x2 + 2xy + y2
step-by-step
6
(x + -1y)(x + y)
Answer
x2 + -1y2
step-by-step
7
(a + b)(c + d)
Answer
ac + bc + ad + bd
step-by-step
8
2(a2 + a)(3a2 + 6a)
Answer
6a4 + 18a3 + 12a2
step-by-step
9
b(15 + -3b)(15 + 5b)
Answer
225b + 30b2 + -15b3
step-by-step
10
12a(a + b)(a + -1b)
Answer
12a3 + -12ab2
step-by-step
11
(j + -1k)(j + -1k)
Answer
j2 + -2jk + k2
step-by-step
12
(3x + 9)(2x + 5)
Answer
6x2 + 33x + 45
step-by-step
13
(2a + 3b)(6a + 9b)
Answer
12a2 + 36ab + 27b2
step-by-step
14
(2a + 2a2)(3 + a)
Answer
6a + 8a2 + 2a3
step-by-step
15
(5 + x)(2x + 10)
Answer
50 + 20x + 2x2
step-by-step
16
(ab + bc)(ab + bc)
Answer
a2b2 + 2ab2c + b2c2
step-by-step
17
(ab + xy)(7ab + 9xy)
Answer
7a2b2 + 16abxy + 9x2y2
step-by-step
18
(2a + 3b)(5c + 7d)
Answer
10ac + 14ad + 15bc + 21bd
step-by-step
19
(5 + x)(2x + -10)
Answer
2x2 + -50
step-by-step
20
(x + -1x2)(x2 + -1x)
Answer
-1x2 + 2x3 + -1x4
step-by-step
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