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Exercise

$\left(3x^2+4z^3\right)^2$

Step-by-step Solution

1

Expand the expression $\left(3x^2+4z^3\right)^2$ 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: $3x^2$

$9x^{4}$
3

Twice ($2$) the product of the two terms: $3x^2$ and $4z^3$

$24x^2z^3$
4

Take the square of the second term: $4z^3$

$16z^{6}$
5

Add the three results, and we obtain the expanded polynomial

$9x^{4}+24x^2z^3+16z^{6}$

Final answer to the exercise

$9x^{4}+24x^2z^3+16z^{6}$

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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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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