Question

The product of two numbers is (x⁴ + x²y² + y⁴). If one number is (x² + y² + xy) then find the other number

answer step by step​

Answer 1

Answer:

x² + y² - xy

Step-by-step explanation:

let the other number be a

so,.

a(x² + y² + xy) = x⁴+ x²y² +y⁴

a(x² + y² + xy) = (x⁴ +x²y² +x²y² + y⁴) - x²y²

a(x² + y² + xy) = (x⁴ +2x²y² + y⁴) - (xy)²

a(x² + y² + xy) = (x² + y²) ² - (xy)²

a(x² + y² + xy) = (x²+y²-xy) (x²+y²+xy)

On comparing , or using right cancellation law

a = x²+y² -xy

this is the required other number

hope this will help you!