Ответ:
а) [tex]\frac{6}{a}[/tex] + [tex]\frac{a-6}{a+4}[/tex] = [tex]\frac{6(a+4)+a*(a-6)}{a*(a+4)}[/tex] = [tex]\frac{6a+24+a^{2}-6a }{a^{2}+4a }[/tex] = [tex]\frac{24+a^{2} }{a^{2}+4a }[/tex]
Объяснение:
б) [tex]\frac{2x^{2} }{2-x}[/tex] - [tex]\frac{2x}{x+2}[/tex] = [tex]\frac{2x^{2}*(x+2)-2x*(2-x) }{(2-x)*(x+2)}[/tex] = [tex]\frac{2x^{3}+4x^{2}-4x+2x^{2}}{4-x^{2}}[/tex] = [tex]\frac{2x^{3}+6x^{2}-4x}{4-x^{2}}[/tex]
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Ответ:
а) [tex]\frac{6}{a}[/tex] + [tex]\frac{a-6}{a+4}[/tex] = [tex]\frac{6(a+4)+a*(a-6)}{a*(a+4)}[/tex] = [tex]\frac{6a+24+a^{2}-6a }{a^{2}+4a }[/tex] = [tex]\frac{24+a^{2} }{a^{2}+4a }[/tex]
Объяснение:
б) [tex]\frac{2x^{2} }{2-x}[/tex] - [tex]\frac{2x}{x+2}[/tex] = [tex]\frac{2x^{2}*(x+2)-2x*(2-x) }{(2-x)*(x+2)}[/tex] = [tex]\frac{2x^{3}+4x^{2}-4x+2x^{2}}{4-x^{2}}[/tex] = [tex]\frac{2x^{3}+6x^{2}-4x}{4-x^{2}}[/tex]