Question

$$\frac{3,6\cdot(1,7^{3}-1,5^{3})}{5,1^{2}+5.1\cdot4.5+4.5^{2}}$$

Answer

3,6,342,25,44.2

Solution


Simplify  \({7}^{3}\)  to  \(343\).
\[\frac{3,6(1,343-1,{5}^{3})}{5,{1}^{2}+5.1\times 4.5+{4.5}^{2}}\]
Simplify  \({5}^{3}\)  to  \(125\).
\[\frac{3,6(1,343-1,125)}{5,{1}^{2}+5.1\times 4.5+{4.5}^{2}}\]
Simplify  \(343-1\)  to  \(342\).
\[\frac{3,6(1,342,125)}{5,{1}^{2}+5.1\times 4.5+{4.5}^{2}}\]
Simplify  \(6\times (1,342,125)\)  to  \(6\times 1,342,125\).
\[\frac{3,6\times 1,342,125}{5,{1}^{2}+5.1\times 4.5+{4.5}^{2}}\]
Simplify  \(6\times 1\)  to  \(6\).
\[\frac{3,6,342,125}{5,{1}^{2}+5.1\times 4.5+{4.5}^{2}}\]
Simplify  \({1}^{2}\)  to  \(1\).
\[\frac{3,6,342,125}{5,1+5.1\times 4.5+{4.5}^{2}}\]
Simplify  \({4.5}^{2}\)  to  \(20.25\).
\[\frac{3,6,342,125}{5,1+5.1\times 4.5+20.25}\]
Simplify  \(5.1\times 4.5\)  to  \(22.95\).
\[\frac{3,6,342,125}{5,1+22.95+20.25}\]
Simplify  \(1+22.95\)  to  \(23.95\).
\[\frac{3,6,342,125}{5,23.95+20.25}\]
Simplify  \(23.95+20.25\)  to  \(44.2\).
\[\frac{3,6,342,125}{5,44.2}\]
Simplify.
\[3,6,342,\frac{125}{5},44.2\]
Simplify  \(\frac{125}{5}\)  to  \(25\).
\[3,6,342,25,44.2\]