\(=6x^{n+2}-6x^n+6x^{n-1+1}+2x\)
\(=6x^{n+2}-6x^n+6x^n+2x\)
\(=6x^{n+2}+2x\)
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thu gọn:
\(3x^n.\left(6x^{n-3}+1\right)-2x^n.\left(9x^{n-3}-1\right)\)
Rút gọn các biểu thức sau :
a) \(6x^n\left(x^2-1\right)+2x^3\left(3x^{n+1}+1\right)\)
b) \(3x^{n-2}\left(x^{n+2}-y^{n+2}\right)+y^{n+2}\left(3x^{n-2}-y^{n-2}\right)\)
c) \(x^{n-3}\left(x-y\right)+y\left(x^{n-3}+x^{n-3}y^{n-1}\right)\)
Rút gọn \(B=\left(x^4-x+\frac{x-3}{x^3+1}\times\frac{\left(x^3-2x^2+2x-1\right)\left(x+1\right)}{x^9+x^7-3x^2-3}+1-\frac{2\left(x+6\right)}{x^2+1}\right)\times\frac{4x^2+6x+1}{\left(x+3\right)\left(4-x\right)}\)
Rút gọn:
\(A=\left(2x+1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right).\)
\(B=\left(3x-1\right)^2+\left(5-3x\right)^2+\left(6x-2\right)\left(5-3x\right)\)
BT6: Thu gọn về hàng đẳng thức
\(1,\left(2x+1\right)^2+2\left(2x+1\right)+1\)
\(2,\left(3x-2y\right)^2+4\left(3x-2y\right)+4\)
Thực hiện phép tính :
a, \(^{6x^n.\left(x^2-1\right)+2x.\left(3x^{n-1}+1\right)}\)
b, \(3x^{n-2}.\left(x^{n+2}y^{n+2}\right)+y^{n+2}.\left(3x^{n-2}-y^{n-2}\right)\)
c, \(4x^{n+1}-3.4^n\)
d, \(6^2.3^8.2^8-6^5.\left(6^{5-1}\right)\)
Tập hợp các giá trị x thỏa mãn
\(3x^n\left(4x^{n-1}-1\right)-2x^{n+1}\left(6x^{n-2}-1\right)\)
rút gọn biểu thức sau bằng cách nhanh nhấtA left(a^2+b^2-c^2right)^2-left(a^2-b^2+c^2right)^2-4a^2b^2B left(3x^3+3x+1right)cdotleft(3x^3-3x+1right)-left(3x^3+1right)^2C left(2-6xright)^2+left(2-5xright)^2+2cdotleft(6x-2right)cdotleft(2-5xright)D 5cdotleft(3x-1right)^2+4cdotleft(5x+1right)^2-12cdotleft(5x-2right)left(5x+2right)E left(3x-1right)^2+left(2x+4right)cdotleft(1-3xright)+left(x+2right)^2G left(x-1right)^3+4cdotleft(x+1right)cdotleft(1-xright)+3cdotleft(x-1right)cdotleft(x^2+x+1rig...
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rút gọn biểu thức sau bằng cách nhanh nhất
A = \(\left(a^2+b^2-c^2\right)^2-\left(a^2-b^2+c^2\right)^2-4a^2b^2\)
B = \(\left(3x^3+3x+1\right)\cdot\left(3x^3-3x+1\right)-\left(3x^3+1\right)^2\)
C = \(\left(2-6x\right)^2+\left(2-5x\right)^2+2\cdot\left(6x-2\right)\cdot\left(2-5x\right)\)
D = \(5\cdot\left(3x-1\right)^2+4\cdot\left(5x+1\right)^2-12\cdot\left(5x-2\right)\left(5x+2\right)\)
E = \(\left(3x-1\right)^2+\left(2x+4\right)\cdot\left(1-3x\right)+\left(x+2\right)^2\)
G = \(\left(x-1\right)^3+4\cdot\left(x+1\right)\cdot\left(1-x\right)+3\cdot\left(x-1\right)\cdot\left(x^2+x+1\right)\)
Rút gọn các biểu thức sau : A 2x^2left(-3x^3+2x^2+x-1right)+2xleft(x^2-3x+1right)B 2x:dfrac{1}{2}x+x^2C left[1:left(1+xright)+2x:left(1-x^2right)right]:left(dfrac{1}{x}-1right)D dfrac{x^2-y^2}{x+y}.dfrac{left(x+yright)^2}{x}+dfrac{y^2}{x+y}.dfrac{left(x+yright)^2}{x}E dfrac{left|x-3right|}{x^2-9}.left(x^2+6x+9right)F dfrac{sqrt{x}}{sqrt{x}-5}-dfrac{10sqrt{x}}{x-25}-dfrac{5}{sqrt{x}+5}
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Rút gọn các biểu thức sau :
A = \(2x^2\left(-3x^3+2x^2+x-1\right)+2x\left(x^2-3x+1\right)\)
B = \(2x:\dfrac{1}{2}x+x^2\)
C = \(\left[1:\left(1+x\right)+2x:\left(1-x^2\right)\right]:\left(\dfrac{1}{x}-1\right)\)
D = \(\dfrac{x^2-y^2}{x+y}.\dfrac{\left(x+y\right)^2}{x}+\dfrac{y^2}{x+y}.\dfrac{\left(x+y\right)^2}{x}\)
E = \(\dfrac{\left|x-3\right|}{x^2-9}.\left(x^2+6x+9\right)\)
F = \(\dfrac{\sqrt{x}}{\sqrt{x}-5}-\dfrac{10\sqrt{x}}{x-25}-\dfrac{5}{\sqrt{x}+5}\)