(x+2)²(x²-4x+4)²+(x-2)²(x²+4x+4)²
=(x+2)²*(x-2)²*(x-2)²++(x-2)²*(x+2)²*(x+2)²
=[(x+2)²*(x-2)²][(x-2)²+(x+2)²]
=[(x+2)²*(x-2)²][2x^2+8]
=[x^2-4]^2[2x^2+8]
再接着化简
2
=[a^2+(a+b)^2][b^2+(a-b)^2]
(x+2)²(x²-4x+4)²+(x-2)²(x²+4x+4)²
=(x+2)²*(x-2)²*(x-2)²++(x-2)²*(x+2)²*(x+2)²
=[(x+2)²*(x-2)²][(x-2)²+(x+2)²]
=[(x+2)²*(x-2)²][2x^2+8]
=[x^2-4]^2[2x^2+8]
再接着化简
2
=[a^2+(a+b)^2][b^2+(a-b)^2]