Question

81x⁴-625y⁴ divided by 3x-5y

Answer 1

$\frac{81 {x}^{4} - 625 {y}^{4} }{3x - 5y} \\ = \frac{(9 {x}^{2} + 25 {y}^{2} )(9 {x}^{2} - 25 {y}^{2} ) }{3x - 5y} \\ = \frac{(9 {x}^{2} + 25 {y}^{2} )(3 x + 5y)(3x - 5y) }{(3x - 5y)} \\ = (9 {x}^{2} + 25 {y}^{2} )(3x + 5y)$

I only used the equation a²-b² = (a+b)(a-b)

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