To complete the square for the expression (3x^2 - 12x + 9), first factor out the 3 from the first two terms: (3(x^2 - 4x) + 9). Next, to complete the square inside the parentheses, take half of (-4) (which is (-2)), square it (getting (4)), and then adjust the expression: (3(x^2 - 4x + 4 - 4) + 9). This simplifies to (3((x - 2)^2 - 4) + 9), resulting in (3(x - 2)^2 - 12 + 9), or finally (3(x - 2)^2 - 3).
1 and 3
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.
Only if the value of c is 9 because:- 4x2+12x+9 = (2x+3)(2x+3)
9
108 square feet. To calculate square feet simply multiply length by width - the result is the area in square feet.
1 and 3
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.
Divide all terms by 3 so:- x2-4x = 5 Completing the square:- (x-2)2 = 9 x-2 = -/+3 x = -1 or x = 5
The idea is to take half the linear part (12, in this case), then square it. The constant part must be equal to this result.
It I'd 12 multiplied by 9 aka 108.
Only if the value of c is 9 because:- 4x2+12x+9 = (2x+3)(2x+3)
9
3x multiplied by (12x plus 9) is:3x(12x + 9)= (3x * 12x) + (3x * 9)= 36x2 + 27x
108 square feet. To calculate square feet simply multiply length by width - the result is the area in square feet.
If you mean: (12x-3)(12x+3) then it is 144x^2 -9
If you are looking for common factors of 12x and 9 it would be 3.
No solution. Multiply second equation by 3 and get 12x + 6y = 0 but already stated 12x + 6y = 9...