Factorise : 9x^3-6x^2+12x
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Step-by-step explanation:
- 9x3-6x2-12x
- Final result :
- 3x • (3x2 - 2x - 4)
- Reformatting the input :
- Changes made to your input should not affect the solution:
- (1): "x2" was replaced by "x^2". 1 more similar replacement(s).
- Step by step solution :
- Step 1 :
- Equation at the end of step 1 :
- ((9 • (x3)) - (2•3x2)) - 12x
- Step 2 :
- Equation at the end of step 2 :
- (32x3 - (2•3x2)) - 12x
- Step 3 :
- Step 4 :
- Pulling out like terms :
- 4.1 Pull out like factors :
- 9x3 - 6x2 - 12x = 3x • (3x2 - 2x - 4)
- Trying to factor by splitting the middle term
- 4.2 Factoring 3x2 - 2x - 4
- The first term is, 3x2 its coefficient is 3 .
- The middle term is, -2x its coefficient is -2 .
- The last term, "the constant", is -4
- Step-1 : Multiply the coefficient of the first term by the constant 3 • -4 = -12
- Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -2 .
- -12 + 1 = -11
- -6 + 2 = -4
- -4 + 3 = -1
- -3 + 4 = 1
- -2 + 6 = 4
- -1 + 12 = 11
- Observation : No two such factors can be found !!
- Conclusion : Trinomial can not be factored
- Final result :
- 3x • (3x2 - 2x - 4)
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