2\(\sqrt{5x^3-18x^2+21x-8}\) = -3x3 + 20x2-41x+24
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1: \(\dfrac{2x^3+11x^2+18x-3}{2x+3}\)
\(=\dfrac{2x^3+3x^2+8x^2+12x+6x+9-12}{2x+3}\)
\(=x^2+4x+3-\dfrac{12}{2x+3}\)
19/20x2/100+19/20x2/100
= [19/20+19/20]x2/100
= 38/20x2/100
= 19/500
75/76x102/100-75/76x2/100
= [102/100-2/100]x75/76
= 1x75/76
= 75/76
3x7/10+7/10x5+2x7/10
= [3+5+2]x7/10
= 10x7/10
= 7
giá trị biểu thức
2/5+2/3x3/4
= 2/5+1/6
= 17/30
1/2x1/3-1/8
= 1/6-1/8
= 1/24
[1/2+1/3]:3/9
= 5/6:3/9
= 5/2
nhớ tick cho tớ nhé
ĐKXĐ: ..
Đặt \(\left\{{}\begin{matrix}\sqrt{2x^2+21x-11}=a\\\sqrt{2x-1}=b\end{matrix}\right.\)
\(a-\sqrt{a^2-15b^2}=b\)
\(\Leftrightarrow a-b=\sqrt{a^2-15b^2}\) (\(a\ge b\))
\(\Rightarrow a^2-2ab+b^2=a^2-15b^2\)
\(\Leftrightarrow8b^2-ab=0\)
\(\Leftrightarrow\left[{}\begin{matrix}b=0\\a=8b\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}2x-1=0\\\sqrt{2x^2+21x-11}=8\sqrt{2x-1}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1=0\\2x^2+21x-11=64\left(2x-1\right)\end{matrix}\right.\)
`#3107.101107`
`5x^2y(3x^3 - 4y + 5xy) - 15x^5y + 20x^2y^2`
`= 15x^5y - 20x^2y^2 + 25x^3y^2 - 15x^5y + 20x^2y^2`
`= (15x^5y - 15x^5y) + (-20x^2y^2 + 20x^2y^2) + 25x^3y^2`
`= 25x^3y^2`
_______
`(8x^5y^2 + 4x^3y^3 - 2x^6y^2) \div 2x^3y`
`= 4x^2y + 2y^2 - x^3y`
\(ĐK:x\ge\dfrac{3}{2}\\ PT\Leftrightarrow3\sqrt{2x-3}-2\sqrt{2x-3}+6\sqrt{2x-3}=1\\ \Leftrightarrow7\sqrt{2x-3}=1\\ \Leftrightarrow\sqrt{2x-3}=\dfrac{1}{7}\\ \Leftrightarrow2x-3=\dfrac{1}{49}\Leftrightarrow x=\dfrac{74}{49}\left(tm\right)\)