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b: \(B=\dfrac{x^2-3x+2x^2+6x-3x^2-9}{x^2-9}=\dfrac{3x-9}{\left(x-3\right)\left(x+3\right)}=\dfrac{3}{x+3}\)
b: \(B=\dfrac{x^2-3x+2x^2+6x-3x^2-9}{\left(x-3\right)\left(x+3\right)}\)
\(=\dfrac{3x-9}{\left(x-3\right)\left(x+3\right)}=\dfrac{3}{x+3}\)
\(a, x^3+5x^2-9x-45=0\\ \Leftrightarrow x^2\left(x+5\right)-9\left(x+5\right)=0\\ \Leftrightarrow\left(x-3\right)\left(x+3\right)\left(x+5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\left(x\ne-5\right)\\ \text{Với }x=3\Leftrightarrow A=\dfrac{9-9}{3\left(3+5\right)}=0\\ \text{Với }x=-3\Leftrightarrow A=\dfrac{9-9}{3\left(-3+5\right)}=0\\ \text{Vậy }A=0\\ b,B=\dfrac{x^2-3x+2x^2+6x-3x^2-9}{\left(x-3\right)\left(x+3\right)}\\ B=\dfrac{3x-9}{\left(x-3\right)\left(x+3\right)}=\dfrac{3\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}=\dfrac{3}{x+3}\)
\(ĐKXĐ:x\ge4\)
\(\sqrt{x+4\sqrt{x-4}}-\sqrt{x-4}=\sqrt{\left(x-4\right)+4\sqrt{x-4}+4}-\sqrt{x-4}\)
\(=\sqrt{\left(\sqrt{x-4}\right)^2+2.2\sqrt{x-4}+2^2}-\sqrt{x-4}\)
\(=\sqrt{\left(\sqrt{x-4}+2\right)^2}-\sqrt{x-4}=\left|\sqrt{x-4}+2\right|-\sqrt{x-4}\)
\(=\sqrt{x-4}+2-\sqrt{x-4}=2\)( vì \(x\ge4\)nên \(\sqrt{x-4}\ge0\))
=-3x-105
Z là hết rr ak