4 x 1 1 =
5x5=
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\(\left(5x^5y^2z+\dfrac{1}{2}x^4y^2z^3-2xy^3z^2\right):\dfrac{1}{4}xy^2z\\ =\left(5:\dfrac{1}{4}\right).\left(x^5:x\right).\left(y^2:y^2\right).\left(z:z\right)+\left(\dfrac{1}{2}:\dfrac{1}{4}\right).\left(x^4:x\right).\left(y^2:y^2\right).\left(z^3:z\right)-\left(2:\dfrac{1}{4}\right).\left(x:x\right).\left(y^3:y^2\right).\left(z^2:z\right)\\ =20x^4+2x^3z^2-8yz\)
1 + 1 x 1 +1 = 1 + 1 +1 = 3
2 + 2 x 2 +2 = 2 + 4 + 2 = 8
3 + 3 - 3 + 3 = 6 - 3 + 3 = 6
4 - 4 + 4 - 4 = 0 + 4 - 4 = 0
5 x 5 - 5 x 5 = 25 - 25 =0
1 + 1 + 2 + 3 + 4 + 5 = 16
1 x 1 x 2 x 3 x 4 x 5 = 120
1 + 1 x 1 + 1 = 3
2 + 2 x 2 + 2 = 8
3 + 3 x 3 + 3 = 15
4 - 4 + 4 - 4 = 0
5 x 5 - 5 x 5 = 0
1 + 1 + 2 + 3 + 4 + 5 =16
1 x 1 x 2 x 3 x 4 x 5 = 120
k nh
Thay x = 4 vào A ta được:
5.4⁵ - 5.4⁴ + 5.4³ - 5.4² + 5.4 - 1
= 5.1024 - 5.256 + 5.64 - 5.16 + 5.4 - 1
= 5120 - 1280 + 320 - 80 + 20 - 1
= 4099
a. 1/3 + 1/4 - 1/6
= 7/12 - 1/6
= 5/12
b. 2/5 x 5/7 : 3/4
= 2/7 : 3/4
= 8/21
\(\dfrac{2}{5}\) x 5 + 4 x \(\dfrac{2}{5}\) + \(\dfrac{2}{5}\)
= \(\dfrac{2}{5}\) x (5 + 4 + 1)
= \(\dfrac{2}{5}\) x 10 = 4
(1 - \(\dfrac{1}{2}\) ) x (1 - \(\dfrac{3}{5}\) ) x (1 - \(\dfrac{2}{7}\) ) x (1 - \(\dfrac{2}{9}\) )
= \(\dfrac{1}{2}\) x \(\dfrac{2}{5}\) x \(\dfrac{5}{7}\) x \(\dfrac{7}{9}\)
= \(\dfrac{1}{9}\)
\(\left(\dfrac{1}{5}\right)^5\cdot5^5+\dfrac{8^{13}}{4^{18}}\)
\(=1+\dfrac{2^{39}}{2^{36}}\)
=9
a) [ {4/5+1/5+3/10 } +1/7 ] * [3 : 6/5 ] = 13/10 * 5/2 = 13/4
b) = [1+3+5+...99] x [ 2/5 x5 - 1/2 *4 ]=[(99+1)+(98+2)+(97+3) +...+(49+51)] x 0 = 0
x=4
=>x+1=5
A=(x+1)x^5 -(x+1)x^4+(x+1)x^3-(x+1)x^2+(x+1)x-1
=x^6+x^5-x^5-x^4+x^4+x^3-x^3-x^2+x^2-x+1
=x^6-x-1
=4^6-4-1
=4091
\(a,A=5\cdot4^5-5\cdot4^4+5\cdot4^3-5\cdot4^2+5\cdot4+1\\ A=4^4\left(20-5\right)+4^2\left(20-5\right)+\left(20-5\right)\\ A=15\left(4^4+4^2+1\right)=15\cdot273=4095\)
\(b,x=7\Leftrightarrow x+1=8\\ \Leftrightarrow B=x^{2006}-\left(x+1\right)x^{2005}+\left(x+1\right)x^{2004}-...+\left(x+1\right)x^2-\left(x+1\right)x-5\\ B=x^{2006}-x^{2006}-x^{2005}+x^{2005}+x^{2004}-...+x^3+x^2-x^2-x-5\\ B=-x-5=-12\)
44 và 25 nhé !