Question

me ajudem por favor

Answer 1

a)
$\frac{7x}{4} \div \frac{3x}{(x + 3)} \\ \frac{7x}{4} \times \frac{(x + 3)}{3x} \\ \frac{7}{4} \times \frac{(x + 3)}{3} \\ \frac{7 \times (x + 3)}{4 \times 3} \\ \frac{7x + 21}{12}$
b)
$\frac{(x + 1)}{7x} \div \frac{a}{(x - 1)} \\ \frac{(x + 1)}{7x} \times \frac{(x - 1)}{a} \\ \frac{(x + 1) \times (x - 1)}{7ax} \\ \frac{x {}^{2} - 1 }{7ax}$
c)
$\frac{(x - 2)}{5x} \div \frac{4}{(x + 3)} \\ \frac{(x - 2)}{5x} \times \frac{(x + 3)}{4} \\ \frac{x {}^{2} + 3x - 2x - 6 }{12x} \\ \frac{x {}^{2} + x - 6 }{12x}$
d)
$\frac{7}{(x - y)} \div \frac{1}{(3x + y)} \\ \frac{7}{(x - y)} \times \frac{(3x + y)}{1} \\ \frac{21x + 7y}{x - y}$
Espero ter ajudado!!! Bons estudos!!!