49(x+y)^2-9(x-y)^2 因式分解

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49(x+y)^2-9(x-y)^2 因式分解

49(x+y)^2-9(x-y)^2 因式分解
49(x+y)^2-9(x-y)^2 因式分解

49(x+y)^2-9(x-y)^2 因式分解
=[7(x+y)+3(x-y)][7(x+y)-3(x-y)]
=(10x+4y)(4x+10y)

49(x+y)²-9(x-y)²
=[7(x+y)]²-[3(x-y)]²
=[7(x+y)+3(x-y)][7(x+y)-3(x-y)]
=(10x+4y)(4x+10y)
=4(5x+2y)(2x+5y)


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49(x+y)²-9(x-y)²
=[7(x+y)]²-[3(x-y)]²
=[7(x+y)+3(x-y)][7(x+y)-3(x-y)]
=(10x+4y)(4x+10y)
=4(5x+2y)(2x+5y)


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49(x + y)" - 9(x - y)"
= [7(x + y)]" - [3(x - y)]"
= [ (7x + 7y) + (3x - 3y) ] [ (7x + 7y) - (3x - 3y) ]
= (7x + 3x + 7y - 3y)(7x - 3x + 7y + 3y)
= (10x + 4y)(4x + 10y)
= [ 2 (5x + 2y) ] [ 2 (2x + 5y) ]
= 4(5x + 2y)(2x + 5y)