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Exercise

$\left(\sqrt{n+1}-\sqrt{n}\right)\left(2-5x\right)^n$

Step-by-step Solution

1

Multiply the single term $\left(2-5x\right)^n$ by each term of the polynomial $\left(\sqrt{n+1}-\sqrt{n}\right)$

$\sqrt{n+1}\left(2-5x\right)^n-\sqrt{n}\left(2-5x\right)^n$

Final answer to the exercise

$\sqrt{n+1}\left(2-5x\right)^n-\sqrt{n}\left(2-5x\right)^n$

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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