Question

Упростить выражение
(x^2 + 3x)^2 – (x + 2)(2 – x)(4 + x^2) – x^2(8x – x^2)

Answer 1

$\displaystyle\bf\\(x^{2} +3x)^{2}-(x+2)(2-x) (4+x^{2} )-x^{2} (8x-x^{2} )=\\\\=x^{4} +6x^{3} +9x^{2} -(4-x^{2} )(4+x^{2} )-8x^{3} +x^{4} =\\\\=2x^{4} -2x^{3} +9x^{2} -(16-x^{4} )=2x^{4} -2x^{3} +9x^{2} -16+x^{4} =\\\\=3x^{4} -2x^{3} +9x^{2} -16$