Solve Simplificationorothersimpleresults X^5-9x^3 Tiger Algebra Solver
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%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Simplification or other simple results x3⋅(x+3)⋅(x−3) x^3*(x+3)*(x-3)Other Ways to Solve
Simplification or other simple resultsStep by Step Solution
Step 1 :
Equation at the end of step 1 :
(x5) - 32x3Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors : x5 - 9x3 = x3 • (x2 - 9)
Trying to factor as a Difference of Squares :
3.2 Factoring: x2 - 9 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 : 9 is the square of 3Check : x2 is the square of x1 Factorization is : (x + 3) • (x - 3)
Final result :
x3 • (x + 3) • (x - 3)How did we do?
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