Question

$$7(xy)\times(2\times3)y\times2(x\times x)\cdot$$

Answer

$$84**x^3*y^2$$

Solution


Simplify  \(2\times 3\)  to  \(6\).
\[7xy\times 6y\times 2xx\]
Take out the constants.
\[(7\times 6\times 2)xxyyx\]
Simplify  \(7\times 6\)  to  \(42\).
\[(42\times 2)xxyyx\]
Simplify  \(42\times 2\)  to  \(84\).
\[84xxyyx\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[84{x}^{3}{y}^{2}\]
Regroup terms.
\[84{x}^{3}{y}^{2}\]
Regroup terms.
\[84{x}^{3}{y}^{2}\]