thực hiện phép tính: \(\left(3x^{n+1}-2x^n\right).4x^2\)
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thực hiện phép tính:
\(3x^n.\left(4x^{n-1}-1\right)-2x^{n+1}\left(6x^{n-2}-1\right)\)
Thực hiện phép tính
\(4x^n\left(7x^{n-1}+x-5\right)-2x^{n-2}\left(14x^{n+1}-10x^2\right)\)
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, \(6^2.3^8.2^8-6^5.\left(6^{5-1}\right)\)
Bài 2 . Thực hiện phép tính
a)\(6x^3\)\(\left(\dfrac{1}{3}x^2-\dfrac{5}{2}-\dfrac{1}{6}\right)\)\(-2x^5\)\(-x^3\)
b)\(\left(x-3\right)\left(x^2+3x-2\right)\)
c)\(\left(4x^3-4x^2-5x+4\right):\left(2x+1\right)\)
a: =2x^5-15x^3-x^2-2x^5-x^3=-16x^3-x^2
b: =x^3+3x^2-2x-3x^2-9x+6
=x^3-11x+6
c: \(=\dfrac{4x^3+2x^2-6x^2-3x-2x-1+5}{2x+1}\)
\(=2x^2-3x-1+\dfrac{5}{2x+1}\)
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a) \(6x^3\left(\dfrac{1}{3}x^2-\dfrac{5}{2}-\dfrac{1}{6}\right)-2x^5-x^3\)
\(=6x^3\left(\dfrac{1}{3}x^2-\dfrac{16}{6}\right)-2x^5-x^3\)
\(=2x^5-16x^3-2x^5-x^3\)
\(=-17x^3\)
b) \(\left(x+3\right)\left(x^2+3x-2\right)\)
\(=x^3+3x^2-2x+3x^2+9x-6\)
\(=x^3+6x^2+7x-6\)
c) \(\left(4x^3-4x^2-5x+4\right):\left(2x+1\right)\)
\(=2x^2+4x^3-2x-4x^2-\dfrac{5}{2}-5x+\dfrac{2}{x}+4\)
\(=4x^3-2x^2-7x+\dfrac{2}{x}+\dfrac{3}{2}\)
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thực hiện phép tính
\(\dfrac{x^2-50}{3x^2-9x}:\dfrac{2x^2+10x}{x^2-9}\)
\(\dfrac{-3x^2}{2x+1}:\left(-\dfrac{9}{4x^2-1}\right)\)
\(\dfrac{x^2-50}{3x^2-9x}\div\dfrac{2x^2+10x}{x^2-9}\)
\(\Leftrightarrow\dfrac{x^2-50}{3x\left(x-3\right)}\div\dfrac{2x^2+10x}{\left(x-3\right)\left(x+3\right)}\)
MTC: 3x(x-3)(x+3)
\(\dfrac{(x^2-50)\left(x+3\right)}{3x\left(x-3\right)\left(x+3\right)}\div\dfrac{3x(2x^2+10x)}{3x\left(x-3\right)\left(x+3\right)}\)
\(\Rightarrow\)(x2-50)(x+3):3x(2x2+10x)
\(\Rightarrow\)(x3+3x2-50x-150):6x3+30x2
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thực hiện phép tính
\(\dfrac{x^2-50}{3x^2-9x}\):\(\dfrac{2x^2+10x}{x^2-9}\)
\(\dfrac{-3x^2}{2x+1}:\left(-\dfrac{9}{4x^2-1}\right)\)
a) Ta có: \(\dfrac{x^2-50}{3x^2-9x}:\dfrac{2x^2+10x}{x^2-9}\)
\(=\dfrac{x^2-50}{3x\left(x-3\right)}\cdot\dfrac{\left(x-3\right)\left(x+3\right)}{2x\left(x+5\right)}\)
\(=\dfrac{\left(x^2-50\right)\left(x+3\right)}{6x^2\left(x+5\right)}\)
b) Ta có: \(\dfrac{-3x^2}{2x+1}:\dfrac{-9}{4x^2-1}\)
\(=\dfrac{3x^2}{2x+1}\cdot\dfrac{\left(2x+1\right)\left(2x-1\right)}{9}\)
\(=\dfrac{x^2\left(2x-1\right)}{3}\)
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Thực hiện phép tính:(3x^n+1-2x^n)×4x^2
\(\left(3x^{n+1}-2x^n\right).4x^2=12x^{n+3}-8x^{n+2}\)
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thực hiện phép tính
\(3x^n\left(6x^{n-3}+1\right)-2x^n\left(9x^{n-3}-1\right)\))
\(3x^n\left(6x^{n-3}+1\right)-2x^n\left(9x^{n-3}-1\right)\)
\(=18x^{2n-3}+3x^n-18x^{2n-3}+2x^n\)
\(=3x^n+2x^n\)
\(=5x^n\)
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Thực hiện phép tính
a, \(\left(3x^4-8x^3-10x^2+8x-5\right):\left(3x^2-2x+1\right)\)
b,\(\left(2x^3-9x^2+19x-15\right):\left(x^2-3x+5\right)\)
c,\(\left(8x^3-y^3\right)\left(4x^2-y^2\right):\left(2x+y\right)\left(4x^2-4xy+y^2\right)\)
\(\frac{3x^4-8x^3-10x^2+8x-5}{3x^2-2x+1}\)
\(=\frac{x^2\left(3x^2-2x+1\right)-2x\left(3x^2-2x+1\right)-5\left(3x^2-2x+1\right)}{3x^2-2x+1}\)
\(=\frac{\left(3x^2-2x+1\right)\cdot\left(x^2-2x-5\right)}{3x^2-2x+1}\)
\(=x^2-2x-5\)
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\(\frac{2x^3-9x^2+19x-15}{x^2-3x+5}\)
\(=\frac{2x\left(x^2-3x+5\right)-3\left(x^2-3x+5\right)}{x^2-3x+5}\)
\(=\frac{\left(x^2-3x+5\right)\left(2x-3\right)}{x^2-3x+5}\)
\(=2x-3\)
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\(\frac{\left(8x^3-y^3\right)\left(4x^2-y^2\right)}{\left(2x+y\right)\left(4x^2-4xy+y^2\right)}\)
\(=\frac{\left(2x-y\right)\left(4x^2+2xy+y^2\right)\left(2x-y\right)\left(2x+y\right)}{\left(2x+y\right)\left(2x-y\right)^2}\)
\(=4x^2+2xy+y^2\)
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