SOLUTION: (ex+fy)(gx-hy) In the expression above, e,f,g, and h are non-zero constants and eh=fg. If eg=18 and fh= 50, what is the value of the coefficient of the xy term when the express

Question 1090313: (ex+fy)(gx-hy)
In the expression above, e,f,g, and h are non-zero constants and eh=fg. If eg=18 and fh= 50, what is the value of the coefficient of the xy term when the expression is multiplied out and the like terms are collected?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
of course.
When you multiply two binomials, like and you end up with 4 products.
In the case of , the four products are
, , , and .
Two of those will have and ,
and can be "simplified" into one term by "collecting like terms."
That term is

.
The coefficient of is ,
And if , .
RELATED QUESTIONS
Points D, E, F, and G are on a line, in that order.If DE = 2, FG = 5, and DF = 6, what is (answered by Fombitz)

In the expression (ax + by)(cx - dy), a, b, c, and d are non-zero constants and ad = bc.... (answered by Boreal,ikleyn,MathTherapy)

IF EFGH IS AN ISOSELCES TRAPEZIOD, EH=4X-27 FG=X+9 , EG 3Y+19 AND FH=11y-21.solve for x... (answered by ikleyn)

If EFGH is an isosceles trapezoid, EH=4x-27, FG=x+9, EG=3y+19, and FH=11y-21, solve for x (answered by MathLover1)

If G is the midpoint of FH and FH= 6y-2 what is y? (answered by greenestamps)

Please help me to solve this.. DEF is a triangle with angle EDF=2x°. Line DE and line DF (answered by CPhill)

What is the length of FH If G is the midpoint, FG =12x-5,and GH =... (answered by jim_thompson5910)

In a cube, the length of GH is 34 cm. Point g is the mid-point of EF, while E and F are... (answered by ikleyn)

Solve the system of equations for x and y. gx+hy=i... (answered by Alan3354)