It appears there may be a typographical error in your question. However, if we interpret it as (x + y^4 = xy^2), we can't directly determine (x^6 + y^6) from this equation alone without additional information about the values of (x) and (y). To find (x^6 + y^6), we would typically need to manipulate or derive further expressions based on the given equation or use specific values for (x) and (y). Please provide more context or clarify the equation for a more precise answer.
(x + y)2 = x2 + 2xy + y2 So x2 + y2 = (x + y)2 - 2xy = a2 - 2b Then (x2 + y2)2 = x4 + 2x2y2 + y4 So x4 + y4 = (x2 + y2)2 - 2x2y2 = (a2 - 2b)2 - 2b2 = a4 - 4a2b + 4b2 - 2b2 = a4 - 4a2b + 2b2
y4
(y^2 + 8)(y^2 + 2)
2+2y+x+xy=(x+2)(y+1)
x=y4 /2
(x + y)2 = x2 + 2xy + y2 So x2 + y2 = (x + y)2 - 2xy = a2 - 2b Then (x2 + y2)2 = x4 + 2x2y2 + y4 So x4 + y4 = (x2 + y2)2 - 2x2y2 = (a2 - 2b)2 - 2b2 = a4 - 4a2b + 4b2 - 2b2 = a4 - 4a2b + 2b2
y4
(y^2 + 8)(y^2 + 2)
2+2y+x+xy=(x+2)(y+1)
(x+y)4 = (x2+2xy+y2)2 = x4+4x3y+6x2y2+4xy3+y4
xy plus 2x plus 4y plus 8 or (xy+2x) + (4y+8) or x(y+2) + 4(y+2) or (x+4)(y+2)
If x = 3 and y = 4 then the answer is 2
x=y4 /2
If you mean: xy2/xy then it can be simplified to y
4 + 24 + 16 = 44
x2 + y4 + x4 +y2 = x6 + y6unless you know what x and y are.* * * * *x2 + y4 + x4 + y2 ??I don't believe that this expression can be factorised or otherwise simplified.It certainly does not equal x6 + y6,for all x and all y:for example, if x = y = 1, thenx2 + y4 + x4 + y2 = 4, whilstx6 + y6 = 2;thus, they are two manifestly unequal quantities.
x=63xy-2/x39*x2y4/x69x2x6*y4