Question

(x + 4)^4 как раскрыть скобку

Answer 1

$(x+4)^4=(x+4)^{2*2}=[(x+4)^2]^2=[x^2+2*x*4+4^2]^2=$

$=[x^2+8x+16]^2=[(x^2+8x)+16]^2=$

$=(x^2+8x)^2+2*(x^2+8x)*16+16^2=$

$=(x^2)^2+2*x^2*8x+(8x)^2+32*(x^2+8x)+256=$

$=x^{2*2}+16*x^{2+1}+8^2x^2+32*x^2+32*8x+256=$

$=x^{4}+16x^{3}+64x^2+32x^2+256x+256$