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This math question is found on pg. 242 of the 10 real SATs (2nd edition).

This is a QC:

a and b are nonzero integers

(a+b)^2 vs. a^2+b^2


if we simplify column a, we get a^2+2ab+b^2. We can then subtract a^2 and b^2 which leaves us comparing 2ab in the first column and zero in the second column. My reasoning is that a and b are nonzero integers, and when multiplied together is positive making A the correct answer.

However, the book lists the answer as D. Is it wrong?



Please help me.......

By Montydsw11 (Montydsw11) on Sunday, March 30, 2003 - 11:21 am: Edit

nonzero just means that they dont equal zero. Lets say a= -1 and b=3, for example. In other words, if either a or b is negative, column B is greater. Because we don't know this information, we go with D.

By Futuredoctor (Futuredoctor) on Sunday, March 30, 2003 - 11:28 am: Edit

o, ok I am a dumbass, thanks Montydsw11