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【因式分解(3x-y)²-(2x+y)²-(y+3x)(3x-y)因式分解(3x-y)²-(2x+y)²-(y+3x)(3x-y
题目内容:
因式分解(3x-y)² -(2x+y)² -(y+3x)(3x-y)
因式分解(3x-y)²-(2x+y)²-(y+3x)(3x-y)优质解答
(3x-y)²-(2x+y)²-(y+3x)(3x-y)
=(3x-y)²-(2x+y)²-(3x+y)(3x-y)
=(3x-y)²-(2x+y)²-[(3x)²-y²]
= 9x²- 6xy + y²- ( 4x²+4xy+y²)-(9x²-y²)
= 9x²- 6xy + y²- 4x²-4xy-y²-9x²+y²
= y²-10xy-4x²
因式分解(3x-y)²-(2x+y)²-(y+3x)(3x-y)
优质解答
=(3x-y)²-(2x+y)²-(3x+y)(3x-y)
=(3x-y)²-(2x+y)²-[(3x)²-y²]
= 9x²- 6xy + y²- ( 4x²+4xy+y²)-(9x²-y²)
= 9x²- 6xy + y²- 4x²-4xy-y²-9x²+y²
= y²-10xy-4x²
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