Answer
$(y-1)^2(4x+5)(x+5)$
Work Step by Step
Given $4x^2(y-1)^2+25x(y-1)^2+25(y-1)^2 = (y-1)^2(4x^2+25x+25) = (y-1)^2(4x^2+20x+5x+25) = (y-1)^2[4x(x+5)+5(x+5)] = (y-1)^2(4x+5)(x+5)$
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