Factorize x^3-27/8y^3

1.	Factorize x^3-27/8y^3
Answer» <html><body><p><strong>Step-by-step explanation:</strong></p><p>We write this as</p><p><a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a> </p><p><a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a></p><p> +(−2y) </p><p>3</p><p> +(−3) </p><p>3</p><p> −3x(−2y)(−3)</p><p>This is in the form a </p><p>3</p><p> +b </p><p>3</p><p> +<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a> </p><p>3</p><p> −3abc, where a=x.b=−2y and c=−3. Hence</p><p>x </p><p>3</p><p> −8y </p><p>3</p><p> −27−18xy=(x−2y−3)(x </p><p>2</p><p> +4y </p><p>2</p><p> +9+2xy−6y+3x)</p></body></html>

Discussion