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Exercise

$\left(7a^2b^3+4x^4\right)^2$

Step-by-step Solution

1

Expand the expression $\left(7a^2b^3+4x^4\right)^2$ 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: $7a^2b^3$

$49a^{4}b^{6}$
3

Twice ($2$) the product of the two terms: $7a^2b^3$ and $4x^4$

$56a^2b^3x^4$
4

Take the square of the second term: $4x^4$

$16x^{8}$
5

Add the three results, and we obtain the expanded polynomial

$49a^{4}b^{6}+56a^2b^3x^4+16x^{8}$

Final answer to the exercise

$49a^{4}b^{6}+56a^2b^3x^4+16x^{8}$

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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