2x2 + 15x + 25 = (2x + 5)(x + 5)
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If you mean: 2x2+15x+25 then it is (2x+5)(x+5)
2x2 + 21x + 49 = 2x2 +14x +7x + 49 = 2x(x + 7) + 7(x + 7) = (2x + 7)(x + 7)
2x2+9x+9 = (2x+3)(x+3) when factored
-2x3 + 2x2 + 12x = -2x(x2 - x - 6) = -2x(x2 + 2x - 3x - 6) = -2x[ x(x + 2) - 3(x + 2) ] = -2x(x - 3)(x + 2)
x3 + 2x2 - 35x = x(x + 7)(x - 5)