23-12-2022 | 476
Tính biểu thức \(\frac{{{x^3}}}{{x + 3}} + \frac{{4y}}{{2x + 3}}:\frac{{2{y^2}}}{{4x + 6}}\)
Bài làm
\(\frac{{{x^3}}}{{x + 3}} + \frac{{4y}}{{2x + 3}}:\frac{{2{y^2}}}{{4x + 6}}\)
\( = \frac{{{x^3}}}{{x + 3}} + \frac{{4y}}{{2x + 3}}.\frac{{4x + 6}}{{2{y^2}}}\)
\(= \frac{{{x^3}}}{{x + 3}} + \frac{{4y(4x + 6)}}{{2{y^2}(2x + 3)}}\)
\(= \frac{{{x^3}}}{{x + 3}} + \frac{{2(4x + 6)}}{{y(2x + 3)}}\)
\(= \frac{{{x^3}}}{{x + 3}} + \frac{{4(2x + 3)}}{{y(2x + 3)}}\)
\( = \frac{{{x^3}}}{{x + 3}} + \frac{4}{y}\)
\(= \frac{{{x^3}.y}}{{y(x + 3)}} + \frac{{4.(x + 3)}}{{y(x + 3)}}\)
\(= \frac{{{x^3}y + 4x + 12}}{{y(x + 3)}}\)
