Ask Question
10 June, 06:24

S the expression x3•x3•x3 equivalent to x3•3•3

+3
Answers (1)
  1. 10 June, 08:32
    0
    Remember

    (x^m) (x^n) = x^ (m+n)

    and difference of 2 perfect squres

    (a²-b²) = (a-b) (a+b)

    and sum or difference of 2 perfect cubes

    so

    (x^3) (x^3) (x^3) = x^ (3+3+3) = x^9

    so

    x^9=3*3*x^3

    x^9=9x^3

    minus 9x^3 both sides

    0=x^9-9x^3

    factor

    0 = (x^3) (x^6-9)

    factor difference of 2 perfect squraes

    0 = (x^3) (x^3-3) (x^3+3)

    factor differnce or sum of 2 perfect cubes (force 3 into (∛3) ³)

    0 = (x³) (x-∛3) (x²+x∛3+∛9) (x+∛3) (x²-x∛3+∛9)

    set each to zero

    x³=0

    x=0

    x-∛3=0

    x=∛3

    x²+x∛3+∛9=0 has no solution

    x+∛3=0

    x=-∛3

    x²-x∛3+∛9=0 has no solution

    so the solutions are

    x=-∛3, 0, ∛3
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “S the expression x3•x3•x3 equivalent to x3•3•3 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers