4(3x+y)²-(2x-y)²(因式分解)

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4(3x+y)²-(2x-y)²(因式分解)
4(3x+y)²-(2x-y)²(因式分解)

4(3x+y)²-(2x-y)²(因式分解)
4(3x+y)²-(2x-y)²
=(6x+2y)^2-(2x-y)^2
=(8x+y)(4x+3y)

4(3x+y)^2 - (2x-y)^2
= (6x+2y)^2 - (2x-y)^2
= (6x+2y+2x-y) (6x+2y-2x+y)
= (8x+y)(4x+3y)

=[2(3x+y)+(2x-y)]*[2(3x+y)-(2x-y)]
=(8x+y)(4x+3y)