Answer :
The simplified expression is (11/2) * x/u - 9 * x * u.
Let's simplify the expression step by step:
Given expression: -11x^6u + 18x^6u^3 / -2x^5u^2
Simplify the numerator and denominator separately.
Numerator: -11x^6u + 18x^6u^3
Denominator: -2x^5u^2
Divide each term in the numerator by the denominator.
(-11x^6u / -2x^5u^2) + (18x^6u^3 / -2x^5u^2)
Simplify the fractions by canceling common factors in each term.
(11/2) * (x^6 / x^5) * (u / u^2) - (9) * (x^6 / x^5) * (u^3 / u^2)
Simplify the exponents and coefficients.
(11/2) * x^(6 - 5) * u^(1 - 2) - 9 * x^(6 - 5) * u^(3 - 2)
More simplification.
(11/2) * x^1 * u^(-1) - 9 * x^1 * u^1
Final simplified expression.
(11/2) * x * (1/u) - 9 * x * u
for such more question on Logical Equivalence
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