Question

Question #dc056

Answer 1

25

Explanation:

Its given that `x+y = xy = 5`
Now, to solve the given equation which is:
`x^2y+y^2x = ????`

This equation can also be written as:
`x xx x xxy` + `yxxyxxx`

Now, `xy` or `yx` in the above equation can be replaced by `5` (`yx` can also be replaced by `5` because multiplication of numbers in either sequence will give the same answer. For eg: `2xx3=3xx2=6`)

and then, the equation becomes: `5x+5y`

Taking the common factor `5` out, we get `5(x+y)`..........(1)

But `x+y=5`
Putting this value of `x+y` in the equation (1)

or, `5 xx 5 = 25`