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Exercise

$3a\left(5a^2+8a+2\right)$

Step-by-step Solution

1

Multiply the single term $3a$ by each term of the polynomial $\left(5a^2+8a+2\right)$

$15a^2a+24a\cdot a+6a$
2

When multiplying exponents with same base you can add the exponents: $15a^2a$

$15a^{3}+24a\cdot a+6a$
3

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

$15a^{3}+24a^2+6a$

Final answer to the exercise

$15a^{3}+24a^2+6a$

Try other ways to solve this exercise

  • Choose an option
  • 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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$4\left(4a+5\right)$

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

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

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

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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