Question

1) а) 15a 256 б) B) Г) 15a +15c 25b 5a-5b 10с 5a - 5b 10c ; дробь: Д) e) ж) as.a3 a ¹0 as + 210 H , + 03​

Answer 1

а)

$\frac{15a}{25b} = \frac{5 \times 3a}{5 \times 5b} = \frac{3a}{5b}$

б)

$\frac{15a + 15c}{25b} = \frac{5(3a + 3c)}{5 \times 5b} = \frac{3a + 3c}{5b}$

в)

$\frac{5a \times 5b}{10c} = \frac{5ab}{2c}$

г)

$\frac{5a - 5b}{10c} = \frac{5(a - b)}{5 \times 2c} = \frac{a - b}{2c}$

д)

$\frac{ {a}^{5} \times {a}^{3} }{ {a}^{10} } = \frac{ {a}^{8} }{ {a}^{10} } = \frac{1}{ {a}^{2} }$

е)

$\frac{ {a}^{5} + {a}^{3} }{ {a}^{10} } = \frac{ {a}^{3}( {a}^{2} + 1) }{ {a}^{3} \times {a}^{7} } = \frac{ {a}^{2} + 1}{ {a}^{7} }$

ж)

$\frac{ {a}^{5} + {a}^{3} }{ {a}^{6} + {a}^{4} } = \frac{ {a}^{3} ( {a}^{2} + 1) }{ {a}^{4} ( {a}^{2} + 1)} = \frac{1}{a}$