mk đag cần gấp bài 6
các cậu giúp mk nhé
giái chi tiết giúp mk vs ạ
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0
0
3 tháng 7 2021
a) Ta có: \(P=\dfrac{a\sqrt{a}-1}{a-\sqrt{a}}-\dfrac{a\sqrt{a}+1}{a+\sqrt{a}}+\left(\sqrt{a}-\dfrac{1}{\sqrt{a}}\right)\left(\dfrac{3\sqrt{a}}{\sqrt{a}-1}-\dfrac{\sqrt{a}+2}{\sqrt{a}+1}\right)\)
\(=\dfrac{\left(\sqrt{a}-1\right)\left(a+\sqrt{a}+1\right)}{\sqrt{a}\left(\sqrt{a}-1\right)}-\dfrac{\left(\sqrt{a}+1\right)\left(a-\sqrt{a}+1\right)}{\sqrt{a}\left(\sqrt{a}+1\right)}+\dfrac{a-1}{\sqrt{a}}\cdot\dfrac{3\sqrt{a}\left(\sqrt{a}+1\right)-\left(\sqrt{a}+2\right)\left(\sqrt{a}-1\right)}{\left(\sqrt{a}-1\right)\left(\sqrt{a}+1\right)}\)
\(=\dfrac{a+\sqrt{a}+1-a+\sqrt{a}-1}{\sqrt{a}}+\dfrac{3a+3\sqrt{a}-\left(a-\sqrt{a}+2\sqrt{a}-2\right)}{\sqrt{a}}\)
\(=2+\dfrac{3a+3\sqrt{a}-a+\sqrt{a}-2\sqrt{a}+2}{\sqrt{a}}\)
\(=\dfrac{2\sqrt{a}+2a+2\sqrt{a}+2}{\sqrt{a}}\)
\(=\dfrac{2\left(a+2\sqrt{a}+1\right)}{\sqrt{a}}\)
\(=\dfrac{2\left(\sqrt{a}+1\right)^2}{\sqrt{a}}\)
b) Ta có: \(P-6=\dfrac{2\left(\sqrt{a}+1\right)^2-6\sqrt{a}}{\sqrt{a}}\)
\(=\dfrac{2a+4\sqrt{a}+2-6\sqrt{a}}{\sqrt{a}}\)
\(=\dfrac{2\left(a-\sqrt{a}+1\right)}{\sqrt{a}}>0\forall a\) thỏa mãn ĐKXĐ
hay P>6
HA
0
O
29 tháng 3 2022
Bài 1
a) \(7\times\dfrac{3}{14}-\dfrac{1}{14}=\dfrac{21}{14}-\dfrac{1}{14}=\dfrac{20}{14}=\dfrac{10}{7}\)
b) \(\dfrac{3}{2}+\dfrac{7}{4}\times\dfrac{2}{5}=\dfrac{3}{2}+\dfrac{14}{20}=\dfrac{11}{5}\)
c) \(\dfrac{9}{8}\div3+\dfrac{7}{8}\div3=\dfrac{9}{8}\times\dfrac{1}{3}+\dfrac{7}{8}\times\dfrac{1}{3}=\dfrac{9}{24}+\dfrac{7}{24}=\dfrac{16}{24}=\dfrac{2}{3}\)
d) \(2\div\dfrac{3}{4}-\dfrac{5}{8}\times\dfrac{4}{3}=\dfrac{8}{3}-\dfrac{20}{24}=\dfrac{64}{24}-\dfrac{20}{24}=\dfrac{11}{6}\)
SD
2
26 tháng 2 2023
câu 2 thì mk có pt nhưng mk ko bt giải
\(\left\{{}\begin{matrix}\dfrac{1}{x}-\dfrac{1}{y}=\dfrac{1}{10}\\x-y=15\end{matrix}\right.\)
19 tháng 5 2021
Part 1
1 into
2 which
3 happily
4 aspect
5 if
6 compulsory
Part 2
1c 2f 3b 4g 5a 6e
Part 3
1 opened
2 to be finished
3 repairing
4 driving
5 harmful
6 modernize
7 environmentalists
8 effectively
Part 4
1 disappointing -> disappointed
2 come -> came
Part 5
1 succeed although he tried
2 my father could speak
3 seen such an interesting
4 being made to protect
Part 6
1 forest
2 climate
3 in
4 fortunatelt
Part 7
1T 2F 3F 4F
