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Mathematics 20 Online
OpenStudy (anonymous):

36x3y - 225xy3

OpenStudy (unklerhaukus):

factorise?

OpenStudy (anonymous):

Yea

OpenStudy (anonymous):

Pls can anyone help me with this I have to factorize it but I don't know how

OpenStudy (unklerhaukus):

what factors are common between the two terms?

OpenStudy (anonymous):

Umm 36 and 225 I guess

OpenStudy (unklerhaukus):

the numbers dont have any common factors

OpenStudy (anonymous):

X3 and y3

OpenStudy (unklerhaukus):

the first term 36x^3y has three factors of x the second term -225xy^3 has only one factor of x

OpenStudy (anonymous):

xy(36x2 - 225y2) is it this the answer

OpenStudy (unklerhaukus):

That's the first step , good work now the terms in the brackets simplify a bit further

OpenStudy (unklerhaukus):

remember a difference of squares \[A^2-B^2= (A+B)(A-B)\]

OpenStudy (anonymous):

xy(6x+15y) (6x-15y) now is it correct

OpenStudy (unklerhaukus):

Excellent, it's fully factorized now.

OpenStudy (anonymous):

Oh thank you so much :D

OpenStudy (anonymous):

How did you give me a medal?

OpenStudy (unklerhaukus):

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