七年级数学题2道(100分)

A^X+A^Y=4A^(X+Y)=21。A^2X+A^2Y=(A^X+A^Y)^2-2A^XA^Y=4^2-2A^(X+Y)=16-2*2=16-4=122。A^3X+A^3Y=(A^X+A^Y)(A^2X-A^X*A^Y+A^2Y)=4[(A^2X+A^2Y)-A^(X+Y)]=4(12-2)=4*10=40X^4+2X+1=X^4-2X^2+1+2X^2+2X=(X^2-1)^2+2X(X+1)=(X+1)^2(X-1)^2+2X(X+1)=(X+1)[(X+1)(X-1)^2+2X]=(X+1)[(X+1)(X^2-2X+1)+2X]=(X+1)(X^3-2X^2+X+X^2-2X+1+2X)=(X+1)(X^3-X^2+X+1)