因式分解16(x+y)²+40(x²-y²)+25(x-y)²

问题描述:

因式分解16(x+y)²+40(x²-y²)+25(x-y)²

答:
16(x+y)²+40(x²-y²)+25(x-y)²
=(4x+4y)²+2×4(x+y)×5(x-y)+(5x-5y)²
=(4x+4y+5x-5y)²
=(9x-y)²