Question

Возведите в степень (2+x)^5

Answer 1

Ответ:

$(2 + x ){}^{5} = (2 + x) {}^{3 + 2} = (2 + x) {}^{3} (2 + x) {}^{2} =( 8 + 12x + 6x {}^{2} + x {}^{3} )(4 + 4x + x {}^{2} ) = 32 + 32x + 8x {}^{2} + 48x + 48x {}^{2} + 12x {}^{3} + 24x {}^{2} + 24x {}^{3} + 6x {}^{4} + 4x {}^{3} + 4x {}^{4} + x {}^{5} = 32 + 80x + 80x {}^{2} + 40x {}^{3} + 10x {}^{4} + x {}^{5}$