Know that -a^2 means -1 x a^2 and not -a x -a.

The reason is that -a^2 has its coefficient as -1

Therefore -a x -a = a^2 and and not -a^2.

This symbol ^ implies exponent.

True but (-a)^2 is totally different.

We know that (-a)^2 = (-a)(-a) = a^2.

How about -(a)^2?

Let me see.

-[(a)(a)]

-(a^2)

-a^2

Agree?

]]>The reason is that -a^2 has its coefficient as -1

Therefore -a x -a = a^2 and and not -a^2.

This symbol ^ implies exponent.]]>