factorise

8x^3+y^3+27z^3-18xyz

Asked by nandu67 | 4th Oct, 2018, 09:58: AM

Expert Answer:

begin mathsize 16px style 8 straight x cubed space plus space straight y cubed space plus space 27 straight z cubed space minus space 18 xyz
equals space left parenthesis 2 straight x right parenthesis cubed space plus space space straight y cubed space plus left parenthesis 3 straight z right parenthesis cubed space minus space 3 cross times left parenthesis 2 straight x right parenthesis space cross times straight y space cross times left parenthesis 3 straight z right parenthesis
We space know space that space straight x cubed space plus space straight y cubed space plus space straight z cubed space minus space 3 xyz space equals space left parenthesis straight x space plus space straight y plus space straight z right parenthesis space left parenthesis straight x squared plus straight y squared plus straight z squared space minus xy space minus space yz space minus zx right parenthesis
equals open parentheses 2 straight x space plus space straight y space plus space 3 straight z close parentheses open parentheses 4 straight x squared space plus space straight y squared space plus space 9 straight z squared space minus space 2 xy space minus space 3 yz space minus space 6 xz close parentheses end style

Answered by Yasmeen Khan | 4th Oct, 2018, 11:11: AM

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