Question

$$/4644 \times 6x3x666 \pm 33x3x=$$

Answer

$$-(4146*x^2)/43$$

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{\times 6x\times 3x\times 666}{4644}-33x\times 3x\]
Take out the constants.
\[\frac{(6\times 3\times 666)xx}{4644}-33x\times 3x\]
Simplify  \(6\times 3\)  to  \(18\).
\[\frac{(18\times 666)xx}{4644}-33x\times 3x\]
Simplify  \(18\times 666\)  to  \(11988\).
\[\frac{11988xx}{4644}-33x\times 3x\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{11988{x}^{2}}{4644}-33x\times 3x\]
Simplify  \(\frac{11988{x}^{2}}{4644}\)  to  \(\frac{111{x}^{2}}{43}\).
\[\frac{111{x}^{2}}{43}-33x\times 3x\]
Take out the constants.
\[\frac{111{x}^{2}}{43}-(33\times 3)xx\]
Simplify  \(33\times 3\)  to  \(99\).
\[\frac{111{x}^{2}}{43}-99xx\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{111{x}^{2}}{43}-99{x}^{2}\]
Simplify.
\[-\frac{4146{x}^{2}}{43}\]