SOLUTION: if (x+y)^2=40 and (x-y)^2=25, evaluate 2x^2-40xy+2y^2
Algebra.Com
Question 1104656: if (x+y)^2=40 and (x-y)^2=25, evaluate 2x^2-40xy+2y^2
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
if (x+y)^2=40 and (x-y)^2=25, evaluate 2x^2-40xy+2y^2
------------
x^2 + 2xy + y^2 = 40
x^2 - 2xy + y^2 + 25
---------------------------- Subtract
4xy = 15
40xy = 150
===================
2x^2-40xy+2y^2 = 40 + 25 - 150
--> -85
RELATED QUESTIONS
Evaluate the expression if x=-5 and y=7... (answered by checkley77)
Evaluate 2x^2-5(x-2y)+5 when x=1 and... (answered by Fombitz)
Evaluate and simplify if possible:
2y(3x + y - 2z) + 3x(y - 2x + z)
for x = -2, y = (answered by josgarithmetic,MathLover1)
How do you solve this problem?
assuming x>0 and y>0, if 16y^2+40xy+25x^2=36, what is... (answered by lwsshak3)
2x+y=25
AND
x-y=2
(answered by rfadrogane)
If x + y = 5 and x^2 + 3xy + 2y^2 = 40, find the value of (2x +... (answered by Theo)
1. evaluate the expression if x= -2 and y=4.... (answered by Fombitz)
How would I evaluate the following
3x+2y-4 if x=2 and... (answered by fractalier)
evaluate... (answered by josgarithmetic)