(-4k4-2k3-5k2)+(2k4-2k3-3k2)

This deals with simplification or other simple results.


Step by Step Solution

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Reformatting the input :

Changes made to lớn your input should not affect the solution: (1): "k2" was replaced by "k^2". 5 more similar replacement(s).

Step 1 :

Equation at the kết thúc of step 1 :

(((0-(4•(k4)))-(2•(k3)))-(5•(k2)))+(((2•(k4))-(2•(k3)))-3k2)

Step 2 :

Equation at the kết thúc of step 2 : (((0-(4•(k4)))-(2•(k3)))-(5•(k2)))+(((2•(k4))-2k3)-3k2)

Step 3 :

Equation at the over of step 3 : (((0-(4•(k4)))-(2•(k3)))-(5•(k2)))+((2k4-2k3)-3k2)

Step 4 :

Equation at the over of step 4 : (((0-(4•(k4)))-(2•(k3)))-5k2)+(2k4-2k3-3k2)

Step 5 :

Equation at the over of step 5 : (((0-(4•(k4)))-2k3)-5k2)+(2k4-2k3-3k2)

Step 6 :

Equation at the end of step 6 : (((0 - 22k4) - 2k3) - 5k2) + (2k4 - 2k3 - 3k2)

Step 7 :

Step 8 :

Pulling out lượt thích terms :8.1 Pull out lượt thích factors:-2k4 - 4k3 - 8k2=-2k2•(k2 + 2k + 4)

Trying to lớn factor by splitting the middle term

8.2Factoring k2 + 2k + 4 The first term is, k2 its coefficient is 1.The middle term is, +2k its coefficient is 2.The last term, "the constant", is +4Step-1 : Multiply the coefficient of the first term by the constant 1•4=4Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is 2.

-4+-1=-5
-2+-2=-4
-1+-4=-5
1+4=5
2+2=4
4+1=5

Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored