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GRE Sample Test 5 Quantitative Reasoning 1
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© examsnet.com
Question : 9
Total: 20
4
a
2
−
4
b
2
is equivalent to which of the following?
(2a − 2b)(2a − 2b)
(4a − 4b)(4a − 4b)
(2a + 2b)(2a − 2b)
(2a + 2b)(a − b)
(4a + 2b)(4a − 2b)
Validate
Solution:
The expression in the question is in the form of
x
2
−
y
2
, where
4
a
2
corresponds to
x
2
and
4
b
2
corresponds to
y
2
. Since
x
2
−
y
2
factors to (x + y) (x − y),
4
a
2
−
4
b
2
factors to
(
2
a
)
2
−
(
2
b
)
2
= (2a + 2b) (2a − 2b).
© examsnet.com
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