Question

9/16a^2-2ab+16/9b^2
Помогите решить!!!

Answer 1

$frac{9}{16}a^2-2ab+ frac{16}{9}b^2= frac{81a^2-288ab+256b^2}{144}= \ frac{(9a)^2-2*(9a)*(16b)+(16b)^2}{144} = frac{(9a-16b)^2}{144}$
Или же:
$frac{9}{16}a^2-2ab+ frac{16}{9}b^2= (frac{3}{4}a)^2-2*( frac{3}{4}* frac{4}{3})ab+( frac{4}{3}b)^2= (frac{3}{4}a- frac{4}{3}b)^2$