Question

MULTIPLY: 2y(2y^2-5y+6)

Answer 1

4y^3-10y^2+12y

Answer 2

4y^3-10y^2+12y

Answer 3

To explain the answers above...

We are distributing the \(2y\) (two times y) to the stuff inside the parenthesis.
\[2y(2y^2-5y+6) = 2y\cdot (2y^2) - 2y\cdot (-5y)+2y\cdot (6)\]
(see how 2y is multiplied by everything in the parenthesis?

Now we take each expression separately.

\[2y\cdot (2y^2) = 4y^3\]
\[2y\cdot (-5y) = -10y^2\]
\[2y\cdot(6) = 12y\]

Now add everything together and you have the final answer of \[4y^3-10y^2+12y\]

Hope this helps. Check out http://www.mathtv.com and look under "algebra" and then polynomials. They have lots of helpful videos there. :)