(5x + 3)(4x^2 + 1)
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
To factor the expression x^3 + 5x^2 + 6x, we first look for common factors among the terms, which is x. Factoring out x gives us x(x^2 + 5x + 6). Next, we factor the quadratic expression x^2 + 5x + 6 by finding two numbers that multiply to 6 and add up to 5, which are 2 and 3. Therefore, the factored form of x^3 + 5x^2 + 6x is x(x + 2)(x + 3).
5x2-18x+9 = (5x-3)(x-3)
5x-5 = -3 5x = -3+5 5x = 2 x = 2/5
-3 and 4x2 - 5x - 5 are the factors of -12x2 + 15x + 15.
To solve the expression (20x^3 + 12x^2 + 5x + 3), we need to identify if you're looking for a specific value or simplification. As it stands, the expression is already in its simplest form, representing a polynomial in the variable (x). If you want to evaluate it for a specific value of (x), please provide that value.
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)