Question

Simplificand expresia E(x)= 8x²-24x+18 totul supra 8x²-18 obtinem?

Answer 1

$E(x)= \frac{8x^{2}-24x+18}{8 x^{2} -18} \\ \\= \frac{2( 4x^{2} -12x+9)}{2(4 x^{2} -9)} \\ \\ =\frac{( 4x^{2} -12x+9)}{(4 x^{2} -9)} \\ \\ = \frac{(2x-3)^{2} }{(2x-3)(2x+3)} \\ \\=\frac{2x-3 }{2x+3} \\ \\ E(x)= \frac{8x^{2}-24x+18}{8 x^{2} -18} =\frac{2x-3 }{2x+3}$