Question

Зробити 1 2 номер даю 50Балов ​

Answer 1

Ответ:

Пошаговое объяснение:

1

1)

$\frac{2}{a}+\frac{5}{a}=\frac{2+5}{a}=\frac{7}{a}$

2)

$\frac{9+3x}{9-4x}-\frac{7x}{9-4x}=\frac{9+3x-7x}{9-4x} =\frac{9-4x}{9-4x}=1$

3)

$\frac{y^2}{y+4} -\frac{16}{y+4}= \frac{y^2-16}{y+4} =\frac{y^2-4^2}{y+4} =\frac{(y-4)(y+4)}{y+4} =y-4$

4)

$\frac{x^2+25}{(x+y)(x-5)}-\frac{10x}{(x+y)(x-5)} = \frac{x^2+25-10x}{(x+y)(x-5)}=\frac{x^2-2\cdot x\cdot 5+5^2}{(x+y)(x-5)}=\frac{(x-5)^2}{(x+y)(x-5)}=\frac{x-5}{x+y}$

2

1)

$\frac{b+1}{b}=\frac{b}{b}+\frac{1}{b} =1+\frac{1}{b}$

2)

$\frac{y^6-3y^2}{y^4} =\frac{y^2(y^4-3)}{y^4}=\frac{y^4-3}{y^2}=\frac{y^4}{y^2}-\frac{3}{y^2}=y^2-\frac{3}{y^2}$

3)

$\frac{12m^3-4m^{10}+8m^2}{4m^3}=\frac{12m^3}{4m^3} - \frac{4m^{10}}{4m^3} +\frac{8m^2}{4m^3} =3-m^7+\frac{2}{m}$

4)

$\frac{25n^{10}+10n^5-5n}{5n^2} =\frac{25n^{10}}{5n^2} +\frac{10n^5}{5n^2} -\frac{5n}{5n^2} =5n^8+2n^3-\frac{1}{n}$