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\(=\dfrac{1}{11}-\dfrac{1}{11}+\dfrac{1}{41152}=\dfrac{1}{41152}\)
\(\left(\dfrac{1}{x}+x-2\right):\left(\dfrac{1}{x^2-x}+1-\dfrac{3}{x-1}\right)\)
\(=\dfrac{x^2-2x+1}{x}:\dfrac{1+x^2-x-3x}{x\left(x-1\right)}\)
\(=\dfrac{\left(x-1\right)^2}{x}\cdot\dfrac{x\left(x-1\right)}{x^2-4x+1}=\dfrac{\left(x-1\right)^3}{x^2-4x+1}\)
a) = x^2 - 9 - (x^2 + 3x - 10)
= -3x + 1
b) = 3x + 1 - 3x + 19
= 20
a: \(\left(x+3\right)\left(x-3\right)-\left(x-2\right)\left(x+5\right)\)
\(=x^2-9-x^2-3x+10\)
\(=-3x+1\)
b: \(\dfrac{27x^3+1}{9x^2-3x+1}-\left(3x-19\right)\)
\(=3x+1-3x+19\)
=20
a) \(\left(5x-4y^3\right)\left(2x^2-1+y\right)=10x^3-5x+5xy-8x^2y^3+4y^3-4y^4=-4y^4+10x^3+4y^3-8x^2y^3+5xy-5x\)
b) \(\left(x-3\right)\left(2x-1\right)-\left(2x-7\right)x=2x^2-7x+3-2x^2+7x=3\)
\(A=3\div\left(\frac{-3}{2}\right)^2+\frac{1}{9}\times\sqrt{36}\)
\(\Rightarrow A=3\div\frac{9}{4}+\frac{1}{9}\times6\)
\(\Rightarrow A=\frac{4}{3}+\frac{1}{3}\)
\(\Rightarrow A=\frac{5}{3}\)
P/s : Nếu mình tính nhầm thì bỏ qua nhé bạn :P
GIẢI
A = 3 : ( -3/2)^2 + 1/9 +\(\sqrt{ }\)36
A = 3 : ( -9/4 ) +1/9 × 6
A = 3 × 4/9 + 1/9 × 6
A = 4/3 + 1/9 × 6
A = 4/3 + 6/9
A = 4/3 + 2/3
A = 6/3
A = 2
HỌC TỐT ^_^
a: \(=4\cdot2\sqrt{6}-3\cdot3\sqrt{6}+5\sqrt{6}-5\sqrt{6}\)
\(=8\sqrt{6}-9\sqrt{6}=-\sqrt{6}\)
b: \(=2\left(3-2\sqrt{2}\right)-2\left(3+2\sqrt{2}\right)\)
\(=6-4\sqrt{2}-6-4\sqrt{2}=-8\sqrt{2}\)
c: \(=\sqrt{3-\sqrt{5}}-\sqrt{3+\sqrt{5}}\)
\(=\dfrac{\sqrt{6-2\sqrt{5}}-\sqrt{6+2\sqrt{5}}}{\sqrt{2}}\)
\(=\dfrac{\sqrt{5}-1-\sqrt{5}-1}{\sqrt{2}}=-\dfrac{2}{\sqrt{2}}=-\sqrt{2}\)
\(A=\sqrt{243}-\sqrt{27}+\sqrt{3}-\sqrt{48}\\ =\sqrt{81\cdot3}-\sqrt{9\cdot3}+\sqrt{3}-\sqrt{16\cdot3}\\ =9\sqrt{3}-3\sqrt{3}+\sqrt{3}-4\sqrt{4}\\ =\left(9-3+1-4\right)\sqrt{3}\\ =3\sqrt{3}\)
\(B=\dfrac{5+\sqrt{5}}{\sqrt{5}}+\dfrac{3+\sqrt{3}}{\sqrt{3}+1}-\left(\sqrt{3}+\sqrt{5}\right)\\ =\dfrac{\sqrt{5}\left(\sqrt{5}+1\right)}{\sqrt{5}}+\dfrac{\sqrt{3}\left(\sqrt{3}+1\right)}{\sqrt{3}+1}-\sqrt{5}-\sqrt{3}\\ =\sqrt{5}+1+\sqrt{3}-\sqrt{5}-\sqrt{3}\\ =1\)
a) 27 a 3 + 27 a 2 + 9a + 1. b) 64 – 96b + 48 b 2 – 8 b 3 .
c) 8 c 3 – 36 c 2 d + 54c d 2 - 27 d 3 . d) 27 x 3 y 3 − 54 x y + 36 y x − 8 y 3 x 3 .