Simplify (56x^5-49x^3+8x^2)/(7x^2)

Problem

(56*x5−49*x3+8*x2)/(7*x2)

Solution

1. Split the expression into individual terms by dividing each term in the numerator by the denominator.

(56*x5)/(7*x2)−(49*x3)/(7*x2)+(8*x2)/(7*x2)

2. Simplify the first term by dividing the coefficients and subtracting the exponents of x

56/7=8

x(5−2)=x3

8*x3

3. Simplify the second term using the same division rules for coefficients and exponents.

49/7=7

x(3−2)=x1

7*x

4. Simplify the third term by canceling the common x2 factor and simplifying the fraction.

8/7

5. Combine the simplified terms into a single expression.

8*x3−7*x+8/7

Final Answer

(56*x5−49*x3+8*x2)/(7*x2)=8*x3−7*x+8/7

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