Question

упростите выражения 1) 4a²-1/a²-9 : 6a+3/a+3
2) (ab+b²) * 3a/a²-b²

Answer 1

$frac{4a^{2}-1 }{a^{2}-9} : frac{6a+3}{a+3} = frac{(2a-1)(2a+1)}{(a-3)(a+3)} * frac{a+3}{3(2a+1)}= frac{2a-1}{3(a-3)}$

$(ab+b^{2})* frac{3a}{(a^{2}-b^{2})}= frac{3ab(a+b)}{(a+b)(a-b)}= frac{3ab}{a-b}$