因式分解16(x+y)²+40(x²-y²)+25(x-y)²_数学解答

因式分解16(x+y)²+40(x²-y²)+25(x-y)²

人气：291 ℃　时间：2020-05-24 03:13:33

解答

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