Question

$$\frac { 7 } { ( x + 5 y ) ( x - 5 y ) }$$

Answer

$$7*Ex*p*a*n*d-x^2+25*y^2$$

Solution


Use Difference of Squares: \({a}^{2}-{b}^{2}=(a+b)(a-b)\).
\[7Expand-({x}^{2}-{(5y)}^{2})\]
Remove parentheses.
\[7Expand-{x}^{2}+{(5y)}^{2}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[7Expand-{x}^{2}+{5}^{2}{y}^{2}\]
Simplify  \({5}^{2}\)  to  \(25\).
\[7Expand-{x}^{2}+25{y}^{2}\]