Question

Сократите дробь зделайте все задания ​

Answer 1

Объяснение:

№1

a) $\frac{36x^{2}y^{5} }{24x^{4} y^{4} } = \frac{36x^{2}y}{24x^{4}} = \frac{36y}{24x^{2}} = \frac{3y}{2x^{2}}$

b) $\frac{a^{2} -6a}{3a-18} = \frac{a(a-6)}{3(a-6)}= \frac{a}{3}$

№2

a) $\frac{3x+8}{x+4} - \frac{x}{x+4} = \frac{3x+8-x}{x+4}= \frac{2x+8}{x+4} = \frac{2(x+4)}{x+4} = 2$

b) $\frac{2a}{a^{2}-9 } + \frac{5}{a+3} = \frac{2a}{(a-3)(a+3) } + \frac{5}{a+3} = \frac{2a +5(a-3)}{(a-3)(a+3) } = \frac{2a +5a-15}{(a-3)(a+3) } = \frac{7a-15}{a^{2}-9}$

№3

a) $\frac{5x^{2} }{18y^{2} } / \frac{15x^{6} }{9y^{4} } = \frac{5x^{2} }{18y^{2} } * \frac{9y^{4}} {15x^{6} } } = \frac{1}{2} * \frac{y^{2} }{3x^{4} } = \frac{y^{2} }{6x^{4}}$

b) $\frac{a^{2}-25 }{a^{2}-4a+4} * \frac{a-2}{4a-20}$ = $\frac{(a-5)(a+5) }{(a-2)^{2} } * \frac{a-2}{4(a-5)}$ = $\frac{a+5}{a-2 } * \frac{1}{4}$ = $\frac{a+5}{4a-8 }$