Ko làm tắt ạ , làm tắt chả hiểu gì ạ
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a: \(\sqrt{252}+\dfrac{1}{3}\sqrt{63}-\sqrt{175}\)
\(=4\sqrt{7}+\sqrt{7}-5\sqrt{7}\)
=0
\(\left(a-\dfrac{a^2+b^2}{a+b}\right)\left(\dfrac{1}{b}+\dfrac{2}{a-b}\right)\)
\(=\dfrac{a^2+ab-a^2-b^2}{a+b}\cdot\dfrac{a-b+2b}{b\left(a-b\right)}\)
\(=\dfrac{b\left(a-b\right)}{a+b}\cdot\dfrac{a+b}{b\left(a-b\right)}\)
=1
\(\left(a-\dfrac{x^2+a^2}{x+a}\right)\left(\dfrac{2a}{x}-\dfrac{4a}{x-a}\right)\)
\(=\dfrac{ax+a^2-x^2-a^2}{x+a}\cdot\dfrac{2ax-2a^2-4ax}{x\left(x-a\right)}\)
\(=\dfrac{a\left(x-a\right)}{x+a}\cdot\dfrac{-2a^2-2ax}{x\left(x-a\right)}\)
\(=\dfrac{a}{x+a}\cdot\dfrac{-2a\left(a+x\right)}{x}\)
\(=\dfrac{-2a^2}{x}\)
\(\left(a-\dfrac{x^2+a^2}{x+a}\right)\left(\dfrac{2a}{x}-\dfrac{4a}{x-a}\right)\)
\(=\dfrac{ax+a^2-x^2-a^2}{x+a}.\dfrac{2a\left(x-a\right)-4ax}{x\left(x-a\right)}\)
\(=\dfrac{x\left(a-x\right)}{x+a}.\dfrac{-2a^2-2ax}{x\left(x-a\right)}\)
\(=\dfrac{x\left(a-x\right)}{x+a}.\dfrac{-2a\left(a+x\right)}{x\left(x-a\right)}\)
\(=2a\)
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
b) \(=\left(5+2\sqrt{3}\right).\sqrt{25-2.5.2\sqrt{3}+12}\\ =\left(5+2\sqrt{3}\right).\sqrt{\left(5-2\sqrt{3}\right)^2}=\left(5+2\sqrt{3}\right).\left(5-2\sqrt{3}\right)=25-12=13\)
c: \(\left(2-\dfrac{5-\sqrt{5}}{1-\sqrt{5}}\right)\left(\dfrac{\sqrt{10}+\sqrt{5}}{\sqrt{2}+1}-2\right)\)
\(=\left(\sqrt{5}+2\right)\left(\sqrt{5}-2\right)\)
=1