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Exercise

$\frac{\left(3\right)^3-4\left(3\right)^2+c\left(3\right)+33}{x+3}$

Step-by-step Solution

1

Calculate the power $3^3$

$\frac{27-4\cdot 9+3c+33}{x+3}$
2

Add the values $27$ and $33$

$\frac{60-4\cdot 9+3c}{x+3}$
3

Multiply $-4$ times $9$

$\frac{60-36+3c}{x+3}$
4

Subtract the values $60$ and $-36$

$\frac{24+3c}{x+3}$

Final answer to the exercise

$\frac{24+3c}{x+3}$

Try other ways to solve this exercise

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Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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