tinh gia tri bieu thuc lop 6 : 6/5.7+6/7.9+6/9.11+......+6/33.35
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đặt A=6/5.7+6/7.9+6/9.11+......+6/33.35
\(\Leftrightarrow A=3\left(\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+...+\frac{2}{33\cdot35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{33}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\cdot\frac{6}{35}\)
\(\Rightarrow A=\frac{18}{35}\)
Gọi A là biểu thức \(\frac{6}{5\cdot7}+\frac{6}{7\cdot9}+...+\frac{6}{33\cdot35}\)
Ta có: \(\frac{6}{5\cdot7}+\frac{6}{7\cdot9}+...+\frac{6}{33\cdot35}\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{33}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{35}\right)=3\cdot\frac{6}{35}=\frac{18}{35}\)
Quá dễ lun !
A = 25 x 6 + 5 = 155
Giá trị của biểu thức A x 6 là : 155 x 6 = 930
\(\sqrt{\frac{5+2\sqrt{6}}{5-2\sqrt{6}}}+\sqrt{\frac{5-2\sqrt{6}}{5+2\sqrt{6}}}=\sqrt{\frac{\left(\sqrt{2}+\sqrt{3}\right)^2}{\left(\sqrt{3}-\sqrt{2}\right)^2}}+\sqrt{\frac{\left(\sqrt{3}-\sqrt{2}\right)^2}{\left(\sqrt{3}+\sqrt{2}\right)^2}}\)
\(=\frac{\sqrt{2}+\sqrt{3}}{\sqrt{3}-\sqrt{2}}+\frac{\sqrt{3}-\sqrt{2}}{\sqrt{2}+\sqrt{3}}=\frac{\left(\sqrt{2}+\sqrt{3}\right)^2+\left(\sqrt{3}-\sqrt{2}\right)^2}{\left(\sqrt{3}-\sqrt{2}\right)\left(\sqrt{3}+\sqrt{2}\right)}=\frac{5+2\sqrt{6}+\left(5-2\sqrt{6}\right)}{3-2}=10\)
2(x^6+y^6)-3(x^4+y^4)
= 2x^4(x² - 1) + 2y^4(y² - 1) - (x^4 + y^4)
= - 2x^4 .y² - 2y^4 .x² - [(x² +y²)² - 2x².y²]
= - 2x²y².(x² + y²) - 1 + 2x².y²
= - 2x²y² - 1 + 2x²y²
= - 1.
96:(y:6)=96:(2x12)
96:(y:6)=(2x12)
96:(y:6)=24
y:6=96:24
y:6=4
y=4x6
y=24
tick nha
đặt A=6/5.7+6/7.9+6/9.11+......+6/33.35
\(\Leftrightarrow A=3\left(\frac{2}{5\cdot7}+\frac{6}{7\cdot9}+...+\frac{6}{33\cdot35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{33}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\cdot\frac{6}{35}\)
\(\Rightarrow A=\frac{18}{35}\)