Answered

Sumali sa IDNStudy.com at simulang makuha ang maaasahang mga sagot. Alamin ang mga maaasahang sagot sa iyong mga tanong mula sa aming malawak na kaalaman sa mga eksperto.

Kindly, solve this equations with simple solutions, so that I will understand. Thank you!
[tex]2 x^{2}-9x+9/ x^{2} -6x+9

x^{3}+y^{3}+x+y/ x^{2} -xy+y^{2}+1[/tex]

Sagot :

[tex] \frac{(2x-3)(x-3)}{(x-3)(x-3)} = \frac{2x-3}{x-3} [/tex]

[tex] \frac{x^{3}+y^{3}+x+y}{x^{2}-xy+y^{2}+1} = \frac{(x^{3}+y^{3})+(x+y)}{x^{2}-xy+y^{2}+1} = \frac{(x+y)(x^2-xy+y^{2})+(x+y)}{x^{2}-xy+y^{2}+1}[/tex]
[tex]= \frac{(x+y)[(x^2-xy+y^{2})+1]}{x^{2}-xy+y^{2}+1} = x+y[/tex]
[tex]1.)\frac{2x^{2}-9x+9}{ x^{2}-6x+9} \ \ \ \ \ \ \ Solution;\ \ \ \frac{2x^{2}-9x+9}{ x^{2}-6x+9}\to \frac{(2x-3(x-3)}{(x-3)(x-3)}\to\boxed{ \frac{2x-3}{x-3}} \\ \\ \\ \\ 2.) \frac{x^{3}+y^{3}+x+y}{x^{2}-xy+y^{2}+1} \ \ \ \ Solution; \ \ \ \frac{(x^{3}+y^{3})+(x+y)}{x^{2}-xy+y^{2}+1}\to \frac{(x+y)(x^{2}-xy+y^{2})+(x+y)}{x^{2}-xy+y^{2}+1} \\ \\ .\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{(x+y)[(x^{2}-xy+y^{2}+1)]}{{x^{2}-xy+y^{2}+1}}\to\boxed{x+y} [/tex]

[tex]Hope\ it\ Helps:) \\ Domini[/tex]