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Exercise

$\frac{3}{5}\left(x^6+x^3-x^2+3\right)$

Step-by-step Solution

1

Multiply the single term $\frac{3}{5}$ by each term of the polynomial $\left(x^6+x^3-x^2+3\right)$

$\frac{3}{5}x^6+\frac{3}{5}x^3- \left(\frac{3}{5}\right)x^2+3\cdot \left(\frac{3}{5}\right)$
2

Multiplying the fraction by $-1$

$\frac{3}{5}x^6+\frac{3}{5}x^3-\frac{3}{5}x^2+3\cdot \left(\frac{3}{5}\right)$
3

Simplifying

$\frac{3}{5}x^6+\frac{3}{5}x^3-\frac{3}{5}x^2+\frac{9}{5}$

Final answer to the exercise

$\frac{3}{5}x^6+\frac{3}{5}x^3-\frac{3}{5}x^2+\frac{9}{5}$

Try other ways to solve this exercise

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  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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