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45x3+63x2−72x−369x\frac{45x^{3}+63x^{2}-72x-36}{9x}

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Find derivatives of using multiple formulaeright chevron icon

Full solution

Q. 45x3+63x2−72x−369x\frac{45x^{3}+63x^{2}-72x-36}{9x}
  1. Divide Terms by Denominator: Simplify the expression by dividing each term in the numerator by the term in the denominator.\newlineWe have the expression (45x3+63x2−72x−36)/(9x)(45x^{3}+63x^{2}-72x-36)/(9x). We can divide each term in the numerator by 9x9x to simplify the expression.\newline(45x3)/(9x)+(63x2)/(9x)−(72x)/(9x)−(36)/(9x)(45x^{3})/(9x) + (63x^{2})/(9x) - (72x)/(9x) - (36)/(9x)
  2. Perform Division for Each Term: Perform the division for each term.\newline(45x3)/(9x)=5x3−1=5x2(45x^{3})/(9x) = 5x^{3-1} = 5x^2\newline(63x2)/(9x)=7x2−1=7x(63x^{2})/(9x) = 7x^{2-1} = 7x\newline(72x)/(9x)=8x1−1=8(72x)/(9x) = 8x^{1-1} = 8\newline(36)/(9x)=4/x(36)/(9x) = 4/x
  3. Combine Results for Final Expression: Combine the results to get the final simplified expression.\newlineThe simplified form of the expression is:\newline5x2+7x−8−4x5x^2 + 7x - 8 - \frac{4}{x}

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