Question

Resolva as divisões:a)(x^4+6x^2):(2x^2) b) (9a^2b^2-ab^3+6a^3b^5):(3ab^2)

Answer 1

$\frac{x^{4}+6x^{2}}{2x^{2} } =\frac{x^{2}(x^{2} +6) }{2x^{2} } =\frac{x^{2} +6}{2} ~~~~ou~~~~=\frac{x^{2} }{2} +\frac{6}{2} =\frac{x^{2} }{2} +3$

$\frac{9a^{2}b^{2} -ab^{3}+6a^{3}b^{5}}{3ab^{2} } \\ \\ \frac{ab^{2}( 9a-b+6a^{2}b^{3})}{3ab^{2} } \\ \\ \frac{9a-b+6a^{2}b^{3}}{3} =\frac{9a}{3} -\frac{b}{3} +\frac{6a^{2}b^{3}}{3} =3a-\frac{b}{3} +2a^{2} b^{3}$