## Algebra 1

4$(8g^{2}+5h^{3})(8g^{2}-5h^{3})$
We use the formula for the difference of squares to apply to this question. The difference of squares formula is: $(a-b) (a+b) = a^{2} - b^{2}$ = 4($64g^{4}$ - $25h^{6}$) *** Take the square root of $64g^{4}$ which is $8g^{2}$. Becuase $8g^{2}$ × $8g^{2}$ = $64g^{4}$ *** Take the square root of $25h^{6}$ which is $5h^{3}$. Becuase $5h^{3}$ × $5h^{3}$ = $25h^{6}$ = 4($(8g^{2})^{2}−(5h^{3})^{2}$) In the given formula let $8g^{2}$ represents a and $5h^{3}$ represents b. 4($(8g^{2})^{2}−(5h^{3})^{2}$) = 4$(8g^{2}+5h^{3})(8g^{2}-5h^{3})$