How to Distribute in an Algebra Problem

[tmt1]

Hi working on an algebra/calculus problem

How do I get from

2 (x^2+y^2) (2x+2yy')

to 4x (x^2+y^2) + 4y(x^2+y^2) y'

It is very confusing.

Tim

 

[Ackbach]

Hi working on an algebra/calculus problem

How do I get from

2 (x2+y2) (2x+2yy')

to 4x (x2+y2) + 4y(x2+y2) y'

It is very confusing.

Tim

Did you mean, how do you get from $2(x^{2}+y^{2})(2x+2yy')$ to $4x(x^{2}+y^{2})+4y(x^{2}+y^{2})y'$? Because, if so, that's just distributing the $(x^{2}+y^{2})$ times the other stuff in parentheses.

 

[tmt1]

Did you mean, how do you get from $2(x^{2}+y^{2})(2x+2yy')$ to $4x(x^{2}+y^{2})+4y(x^{2}+y^{2})y'$? Because, if so, that's just distributing the $(x^{2}+y^{2})$ times the other stuff in parentheses.

Yes I did,

Thank you!