
Задания творческого уровня 1) x4 + x3y - xy3 - y4 2) ху2 – ву2 – ах + ав + у2 – а 3) х2 – 5х + 6
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Mathematical Expressions
1) The expression x^4 + x^3y - xy^3 - y^4 can be simplified by factoring. First, notice that x^4 and y^4 are perfect squares, and x^3y and xy^3 have a common factor of xy. Factoring out common terms, the expression can be simplified as follows: x^4 + x^3y - xy^3 - y^4 = x^3(x + y) - y^3(x + y) = (x^3 - y^3)(x + y) So, the simplified expression is (x^3 - y^3)(x + y).
2) The expression xh^2 - vh^2 - ah + av - u^2 - a can also be simplified. It seems to involve terms with h^2 and h, so it might be possible to factor by grouping. Let's rearrange the terms and try to factor: xh^2 - vh^2 - ah + av - u^2 - a = (x - v)h^2 - a(h - v) + a(v - u^2) It seems that further simplification might be possible depending on the specific values of x, v, a, and u.
3) The expression x^2 - 5x + 6 can be factored by finding two numbers that multiply to 6 and add to -5. These numbers are -2 and -3. Therefore, the expression can be factored as: x^2 - 5x + 6 = (x - 2)(x - 3) So, the factored form of the expression is (x - 2)(x - 3).
Conclusion
I hope this helps to clarify the solutions to the given mathematical expressions. If you have any further questions or need additional assistance, feel free to ask!

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