Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

If x/y + y/x =2, Then 4x-4y-4 = ? ( Please show with full process and don't spam )​

Sagot :

[tex]\\ \sf\longmapsto \dfrac{x}{y}+\dfrac{y}{x}=2[/tex]

[tex]\\ \sf\longmapsto \dfrac{x^2+y^2}{xy}=2[/tex]

[tex]\\ \sf\longmapsto x^2+y^2=2xy[/tex]

[tex]\\ \sf\longmapsto x^2+y^2-2xy=0[/tex]

[tex]\boxed{\sf (a-b)^2=a^2-2ab+b^2}[/tex]

[tex]\\ \sf\longmapsto (x-y)^2=0[/tex]

[tex]\\ \sf\longmapsto x-y=\sqrt{0}[/tex]

[tex]\\ \sf\longmapsto x-y=0[/tex]

Now

[tex]\\ \sf\longmapsto 4x-4y-4[/tex]

  • take 4common

[tex]\\ \sf\longmapsto 4(x-y-4)[/tex]

  • Put the value

[tex]\\ \sf\longmapsto 4(0-4)[/tex]

[tex]\\ \sf\longmapsto 4(-4)[/tex]

[tex]\\ \sf\longmapsto -16[/tex]

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.