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a: \(\sqrt{252}+\dfrac{1}{3}\sqrt{63}-\sqrt{175}\)
\(=4\sqrt{7}+\sqrt{7}-5\sqrt{7}\)
=0
\(a,\dfrac{-2}{5}+\dfrac{4}{5}x=\dfrac{3}{5}\)
\(\Rightarrow\dfrac{4x-2}{5}=\dfrac{3}{5}\)
\(\Rightarrow4x-2=3\)
\(\Rightarrow4x=5\)
\(\Rightarrow x=\dfrac{5}{4}\)
\(b,\dfrac{-3}{7}-\dfrac{4}{7}:x=-2\)
\(\Rightarrow\dfrac{-4}{7x}=\dfrac{-11}{7}\)
\(\Rightarrow7x=\dfrac{-4.7}{-11}\)
\(\Rightarrow7x=\dfrac{28}{11}\)
\(\Rightarrow x=\dfrac{4}{11}\)
a,\(3xy+6x^2=3x\left(y+2x\right)\)
b,\(-4xy^2+8x^2y=-4xy\left(y-2x\right)\)
c,\(4\left(x+y\right)+x^2+xy=4\left(x+y\right)+x\left(x+y\right)\)\(=\left(4+x\right)\left(x+y\right)\)
d,\(4x^2-9y^2=\left(2x\right)^2-\left(3y\right)^2=\left(2x-3y\right)\left(2x+3y\right)\)
e,\(25x^2-\dfrac{1}{4}=\left(5x\right)^2-\left(\dfrac{1}{2}\right)^2=\left(5x-\dfrac{1}{2}\right)\left(5x+\dfrac{1}{2}\right)\)
11)11) 3x(x-5)2-(x+2)3+2(x-1)3-(2x+1)(4x2-2x+1)=3x(x2-10x+25)-(x3+6x2+12x+8)+2(x3-3x2+3x-1)-(8x3+1)=3x3-30x2+75x-x3-6x2-12x-8+2x3-6x2+6x-2-8x3-1=-4x3-42x2+63x-11
a, bạn chụp rõ hơn đc ko ?
b, \(\sqrt{x^2-9}-3\sqrt{x-3}=0\)đk : \(x\ge3;x\le-3\)
\(\Leftrightarrow\sqrt{x-3}\left(\sqrt{x+3}-3\right)=0\)
TH1 : x = 3
TH2 : \(\sqrt{x+3}=3\Leftrightarrow x+3=9\Leftrightarrow x=6\)
bổ sung c
\(D=\sqrt{3-\sqrt{5}}-\sqrt{3+\sqrt{5}}\)
\(\sqrt{2}D=\sqrt{6-2\sqrt{5}}-\sqrt{6+2\sqrt{5}}=\sqrt{5}-1-\sqrt{5}-1=-2\)
\(D=-\dfrac{2}{\sqrt{2}}=-\sqrt{2}\)