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Exercise

$\frac{1}{2}xy^2+\frac{2}{3}xy^2-\frac{2}{3}x^2y+\frac{3}{5}xy^2$

Step-by-step Solution

1

Factor the polynomial $\frac{1}{2}xy^2+\frac{2}{3}xy^2-\frac{2}{3}x^2y+\frac{3}{5}xy^2$ by it's greatest common factor (GCF): $xy$

$xy\left(\frac{1}{2}y+\frac{2}{3}y-\frac{2}{3}x+\frac{3}{5}y\right)$

Final answer to the exercise

$xy\left(\frac{1}{2}y+\frac{2}{3}y-\frac{2}{3}x+\frac{3}{5}y\right)$

Try other ways to solve this exercise

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  • 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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