Thực hiện phép tính: a) (2(x^2)(y^4) + 3)/2x(y^5)- 3/2x(y^5) b) ((x^2) - 4)/(x + 3):((x^2) + 4x + 4)/(2x + 6)
Giải thích
Hướng dẫn giải
a) \(\frac{{2{x^2}{y^4} + 3}}{{2x{y^5}}} - \frac{3}{{2x{y^5}}}\) \( = \frac{{2{x^2}{y^4} + 3 - 3}}{{2x{y^5}}}\) \( = \frac{{2{x^2}{y^4}}}{{2x{y^5}}} = \frac{x}{y}.\) | b) \(\frac{{{x^2} - 4}}{{x + 3}}:\frac{{{x^2} + 4x + 4}}{{2x + 6}}\) \( = \frac{{\left( {x - 2} \right)\left( {x + 2} \right)}}{{x + 3}}:\frac{{{{\left( {x + 2} \right)}^2}}}{{2\left( {x + 3} \right)}}\) \( = \frac{{\left( {x - 2} \right)\left( {x + 2} \right)}}{{x + 3}} \cdot \frac{{2\left( {x + 3} \right)}}{{{{\left( {x + 2} \right)}^2}}}\) \( = \frac{{2\left( {x - 2} \right)}}{{x + 2}}.\) |