simplify the expression completely if possible.\n$\frac{7x^{2}}{28x^{2}-28x}$
simplify the expression completely if possible.\n$\frac{7x^{2}}{28x^{2}-28x}$
Answer
Explanation:
Step1: Factor out the GCF in the denominator
Factor out (28x) from (28x^{2}-28x). We get (28x(x - 1)). So the expression becomes (\frac{7x^{2}}{28x(x - 1)}).
Step2: Simplify the coefficient and the variable part
Simplify the coefficient (\frac{7}{28}=\frac{1}{4}), and simplify the variable part (\frac{x^{2}}{x}=x) (for (x\neq0)). The simplified expression is (\frac{x}{4(x - 1)}) for (x\neq0) and (x\neq1).
Answer:
(\frac{x}{4(x - 1)},x\neq0,x\neq1)