SOLUTION: X+y=a and x2+y2=b then value of x3+y3 will be

Question 1082433: X+y=a and x2+y2=b then value of x3+y3 will be
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

You are given

x + y = a,           (1)
 = b           (2)

You are asked to find the value of .

Square the equality (1) (both sides). You will get

 = .     (3)

Subtract (2) from (3) (both sides). You will get

2xy = .         (4)

Now we are ready to evaluate .


   =        (I suppose you know this classic/basic factoring)

=                  (I just replaced the factor x+y by its value a, according to (1))

=                 (I just replaced  by 'b' and replaced  xy  by  , due to (4) )

=  = .

Solved.

RELATED QUESTIONS
The vertices of a quadrilateral are A (0,0) B (x1,0) C (x2,y2) D (x3,y3). Show that if... (answered by jim_thompson5910)

Graph the equation by finding the x and y intercepts. - 4x + 3y = -12 x1 / y1 x2... (answered by Alan3354,MathLover1,solver91311)

The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which (answered by FrankM)

Hello, I would like to know if it's possible to calculate the equation... (answered by Alan3354)

if x/y+y/x=-1,then... (answered by robertb)

(x-y)2,x3-y3 (answered by Fombitz)

The equation of a line passing through two distinct points (x1,y1) and (x2,y2) is given... (answered by Alan3354)

For this problem you may want to recall that if y=sinh(x), then dy/dx=cosh(x), and... (answered by robertb)

1. If y(x-1) = z then x= A. y-z B. z/y + 1 C. y(z-1) D. z(y-1) 2. If 3x=6x-15 then x (answered by Fombitz)