3x2 + 36x + 81 = 3(x2 + 13x + 27)
3x2 + 36x + 81 = 3(x2 + 12x + 27) = 3(x + 3)(x + 9), which are its prime factors; or, if you prefer, 3x2 + 36x + 81 = (3x + 9)(x + 9), which is also accurate. You may easily verify these results by multiplying back.
(3X + 9) (X + 9)
3x2+7-6 = (3x-2)(x+3) when factored
3x2= 6 6-(4x-2)= 6--8= 6+8 = 14 14+7 = 21
3x2 + 36x + 81 = 3(x2 + 13x + 27)
3x2 + 36x + 81 = 3(x2 + 12x + 27) = 3(x + 3)(x + 9), which are its prime factors; or, if you prefer, 3x2 + 36x + 81 = (3x + 9)(x + 9), which is also accurate. You may easily verify these results by multiplying back.
3x2=6+38=44
(3X + 9) (X + 9)
-3x2 + 16x + 12 = -3x2 + 18x - 2x + 12 = -3x*(x - 6) - 2(x - 6) = -(3x + 2)*(x - 6)
(2x3)+(3x5)-(3x2)= 2x3=6 3x5=15 3x2=6 So..... 6x25-6= 6x25=150 150+6=156
3x2+7-6 = (3x-2)(x+3) when factored
(3x + 1)(x + 6)
no 3x2=6 then 4x-15= -60 so 6 added with - 60 = -54
If the original is 2x + 3x2 + 6 + 5x3, you should rearrange the terms in order of exponent:5x3 + 3x2 + 2x + 6
3x2= 6 6-(4x-2)= 6--8= 6+8 = 14 14+7 = 21
3(x + 1)(x + 2)