Solve Otherfactorizations (f^-3g^5h^8)-3 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 −f−3⋅(3f3−g5h8) -f^(-3)*(3f^3-g^5h^8)

Other Ways to Solve

Other Factorizations

Step by Step Solution

Reformatting the input :

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

Step 1 :

Step 2 :

Pulling out like terms :

2.1 Pull out like factors : f(-3)g5h8 - 3 = -f(-3) • (3f3 - g5h8)

Trying to factor as a Difference of Squares :

2.2 Factoring: 3f3 - g5h8 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 : 3 is not a square !! Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

-f(-3) • (3f3 - g5h8)

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Terms and topics

• Pulling out like terms
• Factoring binomials as difference of squares
• Polynomial root calculator
• Polynomial long division
• Linear equations with one unknown
• Nonlinear equations

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