36(x+2y)^2-25(x-2y)^2
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36(x+2y)^2-25(x-2y)^2
36(x+2y)^2-25(x-2y)^2
36(x+2y)^2-25(x-2y)^2
36(x+2y)²-25(x-2y)²
设 x+2y=m x-2y=n
原式=36m²-25n²
=(6m)²-(5n)²
=(6m+5n)(6m-5n)
=[6(x+2y)+5(x-2y)][6(x+2y)-5(x-2y)]
=(6x+12y+5x-10y)(6x+12y-5x+10y)
=(11x+2y)(x+22y)
36(x+2y)^2-25(x-2y)^2
=[6(x+2y)+5(x-2y)][6(x+2y)-5(x-2y)]
=(11x+2y)(x+22y)
36(x+2y)²-25(x-2y)²
=[6(x+2y]²-[5(x-2y)]²
=[6(x+2y)+5(x-2y)][6(x+2y)-5(x-2y)]
=(6x+12y+5x-10y)(6x+12y-5x+10y)
=(11x+2y)(x+22y)
36(x+2y)^2-25(x-2y)^2
=[6(x+2y)]²-[5(x-2y)]²
=(6x+12y+5x-10y)(6x+12y-5x+10y)
=(11x+2y)(x+22y)
36(x+2y)^2-25(x-2y)^2
=(6x+12y+5x-10y)(6x+12y-5x+10y)
=(11x+2y)(x+22y)
原式=(6(X+2Y)+5(X-2Y))(6(X+2Y)-5(X-2Y))
=(6X+12Y+5X-10Y)(6X+12Y-5X+10Y)
=(11X+2Y)(X+22Y)