Question

8x³-27y³/4x²-9y² simplify​

Answer 1

Answer:

2x-3y

........... .......

Answer 2

SOLUTION

TO DETERMINE

To simplify

$\displaystyle\sf \frac{8 {x}^{3} - 27 {y}^{3} }{4 {x}^{2} - 9 {y}^{2} }$

EVALUATION

Here the given expression is

$\displaystyle\sf \frac{8 {x}^{3} - 27 {y}^{3} }{4 {x}^{2} - 9 {y}^{2} }$

We simplify it as below

$\displaystyle\sf \frac{8 {x}^{3} - 27 {y}^{3} }{4 {x}^{2} - 9 {y}^{2} }$

$\displaystyle\sf = \frac{{(2x)}^{3} - {(3y)}^{3} }{ {(2x)}^{2} - {(3y)}^{2} }$

$\displaystyle\sf = \frac{(2x - 3y)(4 {x}^{2} + 2x.3y + 9 {y}^{2}) }{(2x + 3y)(2x - 3y)}$

$\displaystyle\sf = \frac{(2x - 3y)(4 {x}^{2} + 6xy + 9 {y}^{2}) }{(2x + 3y)(2x - 3y)}$

$\displaystyle\sf = \frac{(4 {x}^{2} + 6xy + 9 {y}^{2}) }{(2x + 3y)}$

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