One equation with two unknowns usually does not have a solution.
When it is of the form x3 + y3 or x3 - y3. x or y can have coefficients that are perfect cubes, or even ratios of perfect cubes eg x3 + (8/27)y3.
the equation is A= y2-y2/x3-x2 after that you find the y-intercept by doing, b= y1+y2+y3-A(x1+x2+x3)/3
It is an algebraic expression.
(x4 + y4)/(x + y) = Quotient = x3 - x2y + xy2 - y3 Remainder = - 2y4/(x+y) So, x3 - x2y + xy2 - y3 - 2y4/(x+y)
One equation with two unknowns usually does not have a solution.
When it is of the form x3 + y3 or x3 - y3. x or y can have coefficients that are perfect cubes, or even ratios of perfect cubes eg x3 + (8/27)y3.
x6 - y6 = (x3)2 - (y3)2 = (x3 + y3) (x3 - y3) = (x + y)(x2 - xy + y2)(x - y)(x2 + xy + y2)
the equation is A= y2-y2/x3-x2 after that you find the y-intercept by doing, b= y1+y2+y3-A(x1+x2+x3)/3
It is an algebraic expression.
3xyz
The required result will be 3xyz
(x2 - xy + y2)(x + y)
It is difficult to definitively determine the "hardest" math equation in the world as mathematical difficulty is subjective and can vary depending on individual expertise. However, one equation that is often considered challenging is the Navier-Stokes existence and smoothness problem in fluid dynamics. This equation describes the motion of fluid substances and is notoriously difficult due to its complex nonlinear nature and the lack of a general solution. Many mathematicians have been working on this problem for decades without a complete resolution.
That's either the sum or difference of two cubes.
(x4 + y4)/(x + y) = Quotient = x3 - x2y + xy2 - y3 Remainder = - 2y4/(x+y) So, x3 - x2y + xy2 - y3 - 2y4/(x+y)
(x - y)(x^2 + xy + y^2