Solution - Simplification or other simple results
2*(x^2-2x-1)
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(2x2 - 4x) - 2
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
2x2 - 4x - 2 = 2 • (x2 - 2x - 1)
Trying to factor by splitting the middle term
3.2 Factoring x2 - 2x - 1
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1
Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is -2 .
| -1 | + | 1 | = | 0 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
2 • (x2 - 2x - 1)
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