因式分解16(x+y)²+40(x²-y²)+25(x-y)²
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因式分解16(x+y)²+40(x²-y²)+25(x-y)²
因式分解16(x+y)²+40(x²-y²)+25(x-y)²
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
16(x+y)²+40(x²-y²)+25(x-y)²
=[4(x+y)]²+2[4(x+y)][5(x-y)]+[5(x-y)]²
=[4(x+y)+5(x-y)]²
=(9x-y)²