Question

7 класс математика ...Задание на фото

Answer 1

Ответ:

1.

1) $y^{2} +xy=y(y+x)$

2) $ac+bc=c(a+b)$

3) $3a+6b=3(a+2b)$

4) $2mn-6m^{2} =2m(n-3m)$

5) $5a^{2} b+10ab^{2}=5ab(a+2b)$

2.

1) $\frac{x^{2} +xy}{x} =\frac{x(x+y)}{x} =x+y$

2) $\frac{4m-4n}{8mn} =\frac{4(m-n)}{8mn} =\frac{m-n}{2mn}$

3) $\frac{x^{2} }{x^{2}+xy} =\frac{x^{2}}{x(x+y)} =\frac{x}{x+y}$

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

5) $\frac{2ab-6a^{2} }{12a^{2}b-4ab^{2} } =\frac{2a(b-3a)}{4ab(3a-b)} =-\frac{1}{2b}$

6) $\frac{4mn-m^{2}}{4m^{2}n-m^{3}n}= \frac{m(4n-m)}{m^{2}n(4- m)} =\frac{4-m}{mn(4-m)}$