Question

Сократите дробь плиз

Answer 1

Ответ:

а)

$\frac{ 5x ^ { 3 } y ^ { 4 } }{ 35y ^ { 2 } x ^ { 7 } } = \frac{5^{1}x^{3}y^{4}}{35^{1}x^{7}y^{2}} = \frac{5^{1}}{35^{1}}x^{3-7}y^{4-2} = \frac{5^{1}}{35^{1}}x^{-4}y^{4-2} = \frac{5^{1}}{35^{1}}\times \left(\frac{1}{x^{4}}\right)y^{2} = \frac{1}{7}\times \left(\frac{1}{x^{4}}\right)y^{2} = \frac{y^{2}}{7x^{4}}$

б)

$\frac{ x ^ { 2 } -49 }{ 7x-49 } = \frac{\left(x-7\right)\left(x+7\right)}{7\left(x-7\right)} = \frac{x+7}{7} = \frac{x}{7}+1$