Solve Simplificationorothersimpleresults H3-8 Tiger Algebra Solver

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Camera Icon Enter an equation or problemClear Camera Icon Solve Camera input is not recognized!Keyboardarrow leftarrow rightenterdelsquare 2square 10axy/|abs|( )789*fractionsqrt root456-root%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Simplification or other simple results (h−2)⋅(h2+2h+4) (h-2)*(h^2+2h+4)

Other Ways to Solve

Simplification or other simple results

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution: (1): "h3" was replaced by "h^3".

Step 1 :

Trying to factor as a Difference of Cubes:

1.1 Factoring: h3-8 Theory : A difference of two perfect cubes, a3 - b3 can be factored into (a-b) • (a2 +ab +b2)Proof : (a-b)•(a2+ab+b2) = a3+a2b+ab2-ba2-b2a-b3 = a3+(a2b-ba2)+(ab2-b2a)-b3 = a3+0+0-b3 = a3-b3Check : 8 is the cube of 2 Check : h3 is the cube of h1Factorization is : (h - 2) • (h2 + 2h + 4)

Trying to factor by splitting the middle term

1.2 Factoring h2 + 2h + 4 The first term is, h2 its coefficient is 1 .The middle term is, +2h its coefficient is 2 .The last term, "the constant", is +4 Step-1 : Multiply the coefficient of the first term by the constant 1 • 4 = 4 Step-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

Final result :

(h - 2) • (h2 + 2h + 4)

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