Question

what is the answer of this​

Answer 1

$\:\: \underline{\underline{\bf{\large\mathfrak{~~Solution~~}}}}$

$\frac{7x {}^{2} + 18x + 8}{49x {}^{2} - 16} \times \frac{14x - 8}{x + 2} \\ = \frac{7x {}^{2} + 14x + 4x + 8 }{(7x) {}^{2} - 4 {}^{2} } \times \frac{14x - 8}{x + 2} \\ = \frac{7x(x + 2) + 4(x + 2)}{(7x - 4)(7x + 4)} \times \frac{2(7x - 4)}{x + 2} \\ = \frac{(x + 2)(7x + 4)}{(7x - 4)(7x + 4)} \times \frac{2(7x - 4)}{(x + 2)} \\ = 4 \: \: \: (answer)$