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PROBLEM 2
Reduce
(x^(3)-3x^(2))/(4x^(2)-5x) to lowest terms.
for
x!=
Check
Explain

PROBLEM $2$ $\newline$ Reduce $\frac{x^{3}-3 x^{2}}{4 x^{2}-5 x}$ to lowest terms. $\newline$ for $x \neq$ $\newline$ Check $\newline$ Explain

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Evaluate expression when two complex numbers are given

Full solution

Q. PROBLEM

2

\newline

Reduce

\frac{x^{3}-3 x^{2}}{4 x^{2}-5 x}

to lowest terms.

\newline

for

x \neq

\newline

Check

\newline

Explain

Identify Factors: Identify common factors in the numerator and denominator. $\newline$ Numerator: $x^2(x - 3)$ $\newline$ Denominator: $x(4x - 5)$
Factor Out $x$ : Factor out the common $x$ from both the numerator and the denominator. $\newline$ Numerator: $x^2(x - 3)$ $\newline$ Denominator: $x(4x - 5)$ $\newline$ Cancel out the common $x$ . $\newline$ $(x - 3)/(4x - 5)$
Cancel Common $x$ : Check for any further common factors or simplifications. $\newline$ No further simplification is possible.
Check Further Simplifications: State the final simplified expression. $\frac{x - 3}{4x - 5}$

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