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Exercise

$a\left(1+a+a^2\right)-a$

Step-by-step Solution

1

Multiply the single term $a$ by each term of the polynomial $\left(1+a+a^2\right)$

$a+a\cdot a+a^2a-a$
2

When multiplying exponents with same base you can add the exponents: $a^2a$

$a+a\cdot a+a^{3}-a$
3

When multiplying two powers that have the same base ($a$), you can add the exponents

$a+a^2+a^{3}-a$
4

Cancel like terms $a$ and $-a$

$a^2+a^{3}$

Final answer to the exercise

$a^2+a^{3}$

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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Similar Questions Solved

$\left(x+2\right)\left(x+3\right)$

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$\left(6x-5\right)\left(2x+3\right)$

$4\left(4a+5\right)$

$\left(5x+2y\right)\left(5x-2y\right)$

$\left(2x+6\right)^2$

$\left(x-6\right)\left(x-5\right)$

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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