Algebraic Expressions and Simplification
GRE · Flashcards · Recall
GRE · FLASHCARDS
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QUESTION
What property justifies rewriting
a
(
b
+
c
)
a(b+c)
a
(
b
+
c
)
as
a
b
+
a
c
ab+ac
ab
+
a
c
?
QUESTION
What is the simplified form of
x
0
x^0
x
0
for
x
≠
0
x\ne 0
x
=
0
?
QUESTION
What property justifies rewriting
a
b
+
a
c
ab+ac
ab
+
a
c
as
a
(
b
+
c
)
a(b+c)
a
(
b
+
c
)
?
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ANSWER
Factoring using the distributive property. Factoring reverses the distributive property by extracting the common factor
a
a
a
from
a
b
+
a
c
ab + ac
ab
+
a
c
to form
a
(
b
+
c
)
a(b + c)
a
(
b
+
c
)
.
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