(x + 4)^4 как раскрыть скобку

[latex](x+4)^4=(x+4)^{2*2}=[(x+4)^2]^2=[x^2+2*x*4+4^2]^2=[/latex] [latex]=[x^2+8x+16]^2=[(x^2+8x)+16]^2=[/latex] [latex]=(x^2+8x)^2+2*(x^2+8x)*16+16^2=[/latex] [latex]=(x^2)^2+2*x^2*8x+(8x)^2+32*(x^2+8x)+256=[/latex] [latex]=x^{2*2}+16*x^{2+1}+8^2x^2+32*x^2+32*8x+256=[/latex] [latex]=x^{4}+16x^{3}+64x^2+32x^2+256x+256[/latex]