Algebra Demystified 2nd Ed

(Marvins-Underground-K-12) #1
Chapter 6 FaCtoring and the distributive ProPerty 151





(^10) =
73
x^2
x


4.^98
6


+
−−

y=
x

5.^85
58


xy
xy



=

6.^543
916


xy x
x

−+

=

✔SOLUTIONS


1.^1111
yx− yx xy xy


=
−− +

=
−−

= −
()()−

2.^16
4


16
4

16
4

16
− 4

=
−− +

=
−−

= −
xx()()xx−





= −
−− +

= −
−−

(^10) =−−
73
10
73
10
37
10
3
x^2222
x
x
x
x
x
x
()()x
()
−−


7 −
10
37
x^2
x


4.^98
6


98
6

98
6

98
6

+
−−

= +
−+

=−+
+

=−−
+

y
x

y
x

y
x

y
() x

()

5.^85
58


85
58

85
85

xy 85
xy

xy
xy

xy
xy

− xy

= −
−− +

= −
−−

=−−
()()

( ))
85

1
1

1
xy−

=− =−

6.^543
916


543
916

543
16 9

xy x
x

xy x
x

xy x
x

−+

= −+
−− +

= −+
()−−( ))

=−−()+

=−+−

543
16 9
543
16 9

xy x
x
xy x
x

The FOIL Method


The FOIL method helps us to use the distributive property to expand expres-
sions such as (x + 4)(2x – 1). The letters in “FOIL” describe the sums and
products in these expansions.
Free download pdf