#### Product of two binomials - answers.

Learn and remember the following :
(a + b)(a + 2b) = a² + ab + 2ab + 2b² = a²   + 3ab   + 2b²
↓          ↓         ↓
first     middle   last
term     term     term
NOTE * The first term is the product of the first terms, i.e. a² = a x a
* The middle term is the algebraic sum of the product of the outer terms [ a x 2b ] and the
product of the inner terms [ a x b ], i.e. 3ab = [2a x b] + [a x b] = 2ab + ab
* The last term is the product of the second terms, i.e. 2b² = b x 2b
(p + 2)(3p + 5) = (p x 3p) + ((p x 5) + (2 x 3p)) + (2 x 5)
= 3p² + 11p + 10
1.
x² + 3x + 2
2.
x² + 5x + 6
3.
x² + 9x + 20
4.
x² - 3x + 2
5.
x² - 5x + 6
6.
x² - 9x + 20
7.
a² + 7a + 6
8.
a² + 5a + 6
9.
a² - 7a + 6
10.
a² - 5a + 6
11.
x² - x - 2
12.
x² + x - 2
13.
a² + a - 6
14.
a² - a - 6
15.
b² + 2b - 15
16.
b² + b - 6
17.
c² + 3c - 10
18.
c² - 3c - 10
19.
p² + 4p - 21
20.
p² - 4p - 21
21.
q² - 7q + 10
22.
q² + 7q + 10
23.
q² + 3q - 10
24.
q² - 3q - 10
25.
x² - 8x + 15
26.
x² + 8x + 15
27.
x² + 2x - 15
28.
x² - 2x - 15
29.
y² + 2y - 8
30.
y² - 2y - 8

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