25(X-Y)^2-16(X+Y)^2

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25(X-Y)^2-16(X+Y)^225(X-Y)^2-16(X+Y)^225(X-Y)^2-16(X+Y)^225(X-Y)^2-16(X+Y)^2=5²(x-y)²-4

25(X-Y)^2-16(X+Y)^2
25(X-Y)^2-16(X+Y)^2

25(X-Y)^2-16(X+Y)^2
25(X-Y)^2-16(X+Y)^2
=5²(x-y)²-4²(x+y)²
=(5x-5y)²-(4x+4y)²
=(5x-5y+4x+4y)(5x-5y-4x-4y)
=(9x-y)(x-9y)

=9x^2+9y^2-82xy
=(x-9y)(9x-y)