Example

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

Question

$$\frac{(x^{2}-y^{2})^{2}}{(x+4)^{2}}$$

Answer

$$((x+y)^2*(x-y)^2)/(x+4)^2$$

Solution


Use Difference of Squares: \({a}^{2}-{b}^{2}=(a+b)(a-b)\).
\[\frac{{((x+y)(x-y))}^{2}}{{(x+4)}^{2}}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[\frac{{(x+y)}^{2}{(x-y)}^{2}}{{(x+4)}^{2}}\]
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