Question

(xhow to solve this equation :- (x-6)=(y-6)(y-6); 3(x+3)=y+36)=(y-6)(y-6); 3(x+3)=y+3

Answer 1

Ok no I will be the one that will make

Answer 2

Given:-

$(y - \frac{6}{y} )( {y}^{2} + 6 + \frac{36}{ {y}^{2} } )$

TO FIND:-

product using suitable identity

SOLUTION:-

use property:-

$( {a}^{3} - {b}^{3} ) = (a - b)( {a}^{2} + ab + {b}^{2} )$

here, a=x and b = $\frac{6}{y}$

$\therefore (y - \frac{6}{y} )( {y}^{2} + 6 + \frac{36}{ {y}^{2} } ) = {y}^{3} - { (\frac{6}{y}) }^{3}$

hence, product of

$\boxed{(y - \frac{6}{y} )( {y}^{2} + 6 + \frac{36}{ {y}^{2} } ) = {y}^{3} - ( \frac{6}{y} {)}^{3} }$