Question

double check my answer? The product of (a − b)(a − b) is a^2 − b^2.

The choices are always, sometimes, and never. I chose always is that correct?

Answer 1

thanks(:

Answer 2

erm...The product \[(a − b)(a − b) = a^2 -2ab + b^2\]

Answer 3

so the answer is not always?

Answer 4

correct, it would only be that \[(a−b)(a−b)=a^2+b^2\] if either a or b is zero. In that case, you would get either \[a^2\] or \[b^2\] only. So sometimes true i.e. only when a=0 or b=0 or both (trivial). If a and b are each not zero, then it is not true.

Answer 5

i guess it could be true of b was zero

Answer 6

it would not be true if
\[a=0\]

Answer 7

@satellite73
it true for both man , when it is a=0 0r b=0

Answer 8

Sometimes,
(a-b)^2=a^2-b^2 iff b=0

if a=0, b not equal to zero, then
(a-b)^2=+b^2
a^2-b^2=-b^2