Đính chính
Bài 1 ý a.
$$ \dfrac{24{{y}^{5}}}{7{{x}^{2}}}\cdot \left( -\dfrac{21x}{12{{y}^{3}}} \right)=\dfrac{24{{y}^{5}}.\left( -21 \right)x}{7{{x}^{2}}.12{{y}^{3}}}=\dfrac{24.\left( -21 \right).{{y}^{5}}.x}{7.12.{{x}^{2}}.{{y}^{3}}}=\dfrac{\left( -504 \right)x{{y}^{5}}:84x{{y}^{3}}}{84{{x}^{2}}{{y}^{3}}:84x{{y}^{3}}}=\dfrac{-6{{y}^{2}}}{x} $$ .
Bài 3 ý b
$$ \dfrac{{{x}^{3}}-1}{2x+4}\cdot \left( \dfrac{1}{x-1}-\dfrac{x+1}{{{x}^{2}}+x+1} \right) $$
$$ =\dfrac{{{x}^{3}}-1}{2\left( x+2 \right)}\cdot \left( \dfrac{{{x}^{2}}+x+1}{\left( x-1 \right)\left( {{x}^{2}}+x+1 \right)}-\dfrac{\left( x+1 \right)\left( x-1 \right)}{\left( x-1 \right)\left( {{x}^{2}}+x+1 \right)} \right) $$
$$ =\dfrac{{{x}^{3}}-1}{2\left( x+2 \right)}\cdot \left( \dfrac{{{x}^{2}}+x+1}{\left( x-1 \right)\left( {{x}^{2}}+x+1 \right)}-\dfrac{{{x}^{2}}-1}{\left( x-1 \right)\left( {{x}^{2}}+x+1 \right)} \right) $$
$$ =\dfrac{{{x}^{3}}-1}{2\left( x+2 \right)}\cdot \dfrac{{{x}^{2}}+x+1-\left( {{x}^{2}}-1 \right)}{\left( x-1 \right)\left( {{x}^{2}}+x+1 \right)} $$
$$ =\dfrac{{{x}^{3}}-1}{2\left( x+2 \right)}\cdot \dfrac{{{x}^{2}}+x+1-{{x}^{2}}+1}{\left( x-1 \right)\left( {{x}^{2}}+x+1 \right)} $$
$$ =\dfrac{{{x}^{3}}-1}{2\left( x+2 \right)}\cdot \dfrac{x+2}{{{x}^{3}}-1} $$
$$ =\dfrac{1}{2} $$
Chưa có thông báo nào