factorice 27y+125z

Asked by shailendrakumar | 8th Jun, 2018, 07:53: AM

Expert Answer:

begin mathsize 16px style 27 straight y cubed space plus space 125 straight z cubed equals space left parenthesis 3 straight y right parenthesis cubed space plus space left parenthesis 5 straight z right parenthesis cubed
Since comma space straight a cubed space plus space straight b cubed space equals space left parenthesis space straight a plus space straight b right parenthesis space left parenthesis space straight a squared space minus space ab space plus space straight b squared space right parenthesis
Here comma space straight a space equals space 3 straight y space and space straight b equals space 5 straight z
rightwards double arrow 27 straight y cubed space plus space 125 straight z cubed equals space left parenthesis 3 straight y right parenthesis cubed space plus space left parenthesis 5 straight z right parenthesis cubed space equals space left parenthesis space 3 straight y space plus space 5 straight z right parenthesis space left parenthesis space 9 straight y squared space minus space 15 yz space plus space 25 straight z squared space right parenthesis

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Answered by Yasmeen Khan | 8th Jun, 2018, 12:39: PM

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