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\(x^3:\left(-\dfrac{1}{2}\right)^2=\dfrac{1}{2}\)
\(\Rightarrow x^3:\left(\dfrac{1}{2}\right)^2=\dfrac{1}{2}\)
\(\Rightarrow x^3=\left(\dfrac{1}{2}\right)^2\cdot\dfrac{1}{2}\)
\(\Rightarrow x^3=\left(\dfrac{1}{2}\right)^3\)
\(\Rightarrow x=\dfrac{1}{2}\)
\(x^3:\left(-\dfrac{1}{2}\right)^2=\dfrac{1}{2}\Rightarrow x^3=\dfrac{1}{2}.\left(-\dfrac{1}{2}\right)^2=\dfrac{1}{2}.\left(\dfrac{1}{2}\right)^2=\left(\dfrac{1}{2}\right)^3\)
\(\Rightarrow x=\dfrac{1}{2}\)
Ta có \(HÂ^2+HC^2=AC^2\Leftrightarrow HA^2+81=225\Leftrightarrow HA^2=144\Leftrightarrow HA=12\left(cm\right)\)
Ta có \(AH^2+HB^2=AB^2\Leftrightarrow144+25=AB^2\Leftrightarrow AB^2=169\Leftrightarrow AB=13\left(cm\right)\)
a: \(5x^2\left(2x^3-4x^2+3x-1\right)\)
\(=5x^2\cdot2x^3-5x^2\cdot4x^2+5x^2\cdot3x-5x^2\cdot1\)
\(=10x^5-20x^4+15x^3-5x^2\)
b: \(\left(x^2-3x\right)\left(x^2-2x-8\right)\)
\(=x^4-2x^3-8x^2-3x^3+6x^2+24x\)
\(=x^4-5x^3-2x^2+24x\)
c: \(1225x^7:\left(-25x^2\right)\)
\(=\left(-1225:25\right)\cdot\left(x^7:x^2\right)\)
\(=-49x^5\)
d: \(\left(-10x^3+25x^2-8x\right):\left(-5x\right)\)
\(=\dfrac{10x^3}{5x}-\dfrac{25x^2}{5x}+\dfrac{8x}{5x}\)
\(=2x^2-5x+\dfrac{8}{5}\)
e: \(\left(3x^4-8x^3+11x^2+8x-5\right):\left(3x^2-2x+3\right)\)
\(=\dfrac{3x^4-2x^3+3x^2-6x^3+4x^2-6x+4x^2-\dfrac{8}{3}x+4+\dfrac{50}{3}x-9}{3x^2-2x+3}\)
\(=x^2-2x+\dfrac{4}{3}+\dfrac{\dfrac{50}{3}x-9}{3x^2-2x+3}\)