Question

(xy-x^2)^2 раскрыть скобки

Answer 1

Ответ:

x^2y^2-2x^3y+x^4

....

Answer 2

Ответ:

Объяснение:

(ху-х^2)^2=Х^2•у^2-2х^3•у+х^4

Answer 3

To expand the expression $(xy - x^2)^2$, you need to apply the FOIL method (First, Outer, Inner, Last) for squaring a binomial. Here's how the expansion is done:

$(xy - x^2)^2 = (xy - x^2)(xy - x^2)$

Using the FOIL method:

First: $xy \cdot xy = x^2y^2$

Outer: $xy \cdot (-x^2) = -x^3y$

Inner: $(-x^2) \cdot xy = -x^3y$

Last: $(-x^2) \cdot (-x^2) = x^4$

Now, summing up all the terms:

$(xy - x^2)^2 = x^2y^2 - 2x^3y + x^4$

So, the expanded form of $(xy - x^2)^2$ is $x^2y^2 - 2x^3y + x^4$.