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Exercise

$\frac{1}{2}a^2b+\frac{1}{4}a^3b^4-\frac{1}{8}a^2b^5+\frac{1}{16}a^4b^2$

Step-by-step Solution

1

Factor the polynomial $\frac{1}{2}a^2b+\frac{1}{4}a^3b^4-\frac{1}{8}a^2b^5+\frac{1}{16}a^4b^2$ by it's greatest common factor (GCF): $a^2b$

$a^2b\left(\frac{1}{2}+\frac{1}{4}ab^{3}-\frac{1}{8}b^{4}+\frac{1}{16}a^2b\right)$

Final answer to the exercise

$a^2b\left(\frac{1}{2}+\frac{1}{4}ab^{3}-\frac{1}{8}b^{4}+\frac{1}{16}a^2b\right)$

Try other ways to solve this exercise

  • Choose an option
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
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Main Topic: Common Monomial Factor

Monomial factor is a factor which has a variable and a term with some exponents. Common monomial factor means finding the common factor from the given set of monomials.

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