Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\left. \begin{array} { l } { = } \\ { ( x + 5 y ) ( x - 5 y ) } \end{array} \right.$$

Answer

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

Solution


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