Page 129 - MarceAlgebra Demystified

116 CHAPTER 6 Factoring

Solutions

1: ð4 þ xÞ¼ 4 x

2: ð x yÞ¼ x þ y

2
2
3: ð2x 5Þ¼ 2x þ 5
2
4: ð 18 þ xy Þ¼ 18 xy 2
5: ð2x 16y þ 5Þ¼ 2x þ 16y 5

2
2
6: ðx 5x 6Þ¼ x þ 5x þ 6
Distributing negative quantities has the same effect on signs as distributing a
minus sign: every sign in the parentheses changes.

Examples

2
8ð4 þ 5xÞ¼ 32 40x xyð1 xÞ¼ xy þ x y
2
2
3x ð 2y þ 9xÞ¼ 6x y 27x 3 100ð 4 xÞ¼ 400 þ 100x

Practice

1: 2ð16 þ yÞ¼

2: 50ð3 xÞ¼

3: 12xyð 2x þ yÞ¼
2
4: 7x ð x 4yÞ¼

5: 6yð 3x y þ 4Þ¼

Solutions

1: 2ð16 þ yÞ¼ 32 2y