Carcass wrote:
Quantity A |
Quantity B |
\((5+a)(3+a)\) |
\(a^2 + 2a + 15\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Kudos for
R.A.E\((5+a)(3+a) = a^2 + 8a + 15\)
Comparing both quantities
QTY A = \(a^2 + 8a + 15\)
QTY B = \(a^2 + 2a + 15\)
\({a^2 + 15}\) is common in both the quantities and so we can cancel them .
Now QTY A = \(8a\)
QTY B = \(2a\)
But it cannot be proved which QTY will be greater, because if
a is positive then QTY A > QTY B
if a is negative then QTY A < QTY B
therefore option D
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