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Exercise

$\left(2m^5+5n^6\right)^2$

Step-by-step Solution

1

Expand the expression $\left(2m^5+5n^6\right)^2$ using the square of a binomial

$(a+b)^2=a^2+2ab+b^2$
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2

Take the square of the first term: $2m^5$

$4m^{10}$
3

Twice ($2$) the product of the two terms: $2m^5$ and $5n^6$

$20m^5n^6$
4

Take the square of the second term: $5n^6$

$25n^{12}$
5

Add the three results, and we obtain the expanded polynomial

$4m^{10}+20m^5n^6+25n^{12}$

Final answer to the exercise

$4m^{10}+20m^5n^6+25n^{12}$

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

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

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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