Question

factor 10x-3-3x^2?

Answer 1

\[10x^{-3}-3x^2\]
?

Answer 2

yes

Answer 3

I guess you could factor x^2 out of the expression.
\[10x^{-3}-3x^2\]
\[x^2(10x^{(-3)-2}-3)\]
do you see why I'm subtracting 2 from the power of the first term?

Answer 4

okay..

Answer 5

To verify, you can multiply the x^2 into the expression. Recall that multiplying powers (with like bases) you add powers.

\[x^2(10x^{(-3)-2}-3)\]
\[(10x^{(-3)-2+2}-3x^2)\]

Answer 6

I'm still like really confused...

Answer 7

About factoring in general or how I approached this problem?

Answer 8

just the whole thing this is the only answer i need to finish this assignment... and it's kicking my butt.

Answer 9

is what I gave you not registering as correct?
The basic rules you should remember are that dividing powers with like bases you subtract the exponents. Multiplication = addition