Solve Otherfactorizations F^3m-g6n Tiger Algebra Solver

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Enter an equation or problemClear Solve × Camera input is not recognized!axy/|abs|( )789*456-%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Other Factorizations f3m−g6n f^3m-g^6n

Other Ways to Solve

Other Factorizations

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution: (1): "g6" was replaced by "g^6".

Step 1 :

Trying to factor as a Difference of Squares :

1.1 Factoring: f3m-g6n Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)Proof : (A+B) • (A-B) = A2 - AB + BA - B2 = A2 - AB + AB - B2 = A2 - B2Note : AB = BA is the commutative property of multiplication. Note : - AB + AB equals zero and is therefore eliminated from the expression.Check : f3 is not a square !! Ruling : Binomial can not be factored as the difference of two perfect squares

Trying to factor as a Difference of Cubes:

1.2 Factoring: f3m-g6n 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 : f3 is the cube of f1Check : m 1 is not a cube !! Ruling : Binomial can not be factored as the difference of two perfect cubes

Final result :

f3m - g6n

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