25x2+30x+9 25*9=225 15*15=225 15+15=3025x2+15x+15x+9[5*5xx 3*5x] [3*5x 3*3]5x(5x+3)+3(5x+3)(5x+3)(5x+3)Answer: (5x+3)2
5x + 10x doesn't need factorization as you can just add them up (5x+10x=15x). However, if you really want to, 5x+10x=5x(1+2)=5x(3)=15x
5x2-18x+9 = (5x-3)(x-3)
5x-5 = -3 5x = -3+5 5x = 2 x = 2/5
5x+3 = -17 5x = -17-3 5x = -20 x = -4
-3 and 4x2 - 5x - 5 are the factors of -12x2 + 15x + 15.
There is no equation or inequality, just an expression. An expression cannot have an answer.
You would first factor out anything that is common between the 3 parts. 2x2 is the greatest common factor. To pull out the 2x2, you divide each term by 2x2 like so:12x4/2x2=6x210x3/2x2=5x-12x2/2x2=-6We now know that 12x4+10x3-12x2= 2x2(6x2+5x-6)The next step involves using the "slip and slide" method for the trinomial inside the parentheses:6x2+5x-6x2+5x-36(x+9)(x-4)(x+9/6)(x-4/6)(x+3/2)(x-2/3)(2x+3)(3x-2)Remembering that the result for the slip and slide method only accounts for 6x2+5x-6 we must multiply (2x+3)(3x-2) by 2x2.Your final answer is 2x2(2x+3)(3x-2).
3x(4x - 3)
4x2(4x3 + 3)
(2x^2 - 5)(4x^3 + 3)
50x2 - 18Factor out the common factor of 2:= 2 (25x2 - 9)Factor the difference of two squares:= 2 (5x + 3) (5x - 3)
Take out the common factor, which in this case is 4x2. Divide each of the terms by this common factor. 12x2 - 4x3 = 4x2(3+x)
(5x-10)(x+3)
12x2 - 28x - 15= 12x2 - 18x - 10x - 15= 6x(2x - 3) - 5(2x - 3)= (6x - 5)(2x - 3)
(3x - 4)(4x - 3)
5x2 + 14x - 3 let 14x = 15x - x=5x 2 + 15x - x - 3 factor out 5x and -1 = 5x(x + 3) - 1(x + 3) factor (x + 3) = (x + 3)(5x - 1)