Rút gọn. 15x³ . 60/x
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\(a,\dfrac{10x^3y^2}{20xy^5}=\dfrac{x^2}{2y^3}\\ b,\dfrac{15\left(x+5\right)^2}{20x\left(x+5\right)}=\dfrac{3\left(x+5\right)}{4x}\)
a) \(\dfrac{x^2}{2y^3}\)
b) \(\dfrac{3\left(x+5\right)}{4}\)=\(\dfrac{3x+15}{4}\)
( x + 5 )3 - 15x( x + 10 )
= x3 + 15x2 + 75x + 125 - 15x2 - 150x
= x3 - 75x + 125
=15x2-(17x2-2x2-4x)
=15x2-15x2-4x
=4x
k cho mik nếu banh thấy đúng nhé!
\(\frac{15x\left(x+y\right)^3}{5y\left(x+y\right)^2}\)
ĐKXĐ : \(x+y\ne0\Leftrightarrow x\ne-y\)
\(=\frac{5\cdot3x\cdot\left(x+y\right)^2\left(x+y\right)}{5\cdot y\cdot\left(x+y\right)^2}\)
\(=\frac{3x\left(x+y\right)}{y}\)
a) \(\sqrt{\frac{3a}{4}}.\sqrt{\frac{4a}{27}}=\frac{\sqrt{3a}}{2}.\frac{\sqrt{4a}}{3\sqrt{3}}=\frac{\sqrt{3}.\sqrt{a}.2.\sqrt{a}}{6\sqrt{3}}=\frac{a.2\sqrt{3}}{6\sqrt{3}}=\frac{a}{3}\)
b) \(\sqrt{15x}.\sqrt{\frac{60}{x}}=\sqrt{15x}.\frac{2\sqrt{15}}{\sqrt{x}}=\frac{30\sqrt{x}}{\sqrt{x}}=30\)
a) \(\sqrt{\frac{3a}{4}}.\sqrt{\frac{4a}{27}}=\sqrt{\frac{3a}{4}.\frac{4a}{27}}=\sqrt{\frac{1}{9}.a^2}=\sqrt{\frac{1}{9}}.\sqrt{a^2}=\frac{1}{3}.a\)( Vì \(a\ge0\)nên \(\sqrt{a^2}=\left|a\right|=a\))
b) \(\sqrt{15x}.\sqrt{\frac{60}{x}}=\sqrt{15x.\frac{60}{x}}=\sqrt{900}=30\)
\(P=\dfrac{15x^5y^3-10x^3y^2+20x^4y^4}{5x^2y^2}\)
\(=\dfrac{15x^5y^3}{5x^2y^2}-\dfrac{10x^3y^2}{5x^2y^2}+\dfrac{20x^4y^4}{5x^2y^2}\)
\(=3x^3y-2x+4x^2y^2\)
Khi x=-1 và y=2 thì \(P=3\cdot\left(-1\right)^3\cdot2-2\cdot\left(-1\right)+4\cdot\left(-1\right)^2\cdot2^2\)
\(=-6+2+16=4+16=20\)
\(\left(1+\dfrac{100}{20}\right)\) x \(\dfrac{125}{60}\)
\(=6\) x \(\dfrac{125}{60}\)
\(=\dfrac{750}{60}=\dfrac{25}{2}\)
\(x^3:x=x^2\) ạ.
\(15x^3.\dfrac{60}{x}=\dfrac{15x^3.60}{x}=900x^2\)