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Exercise

$\left(5xy-2m^{3}\right)^{2}$

Step-by-step Solution

1

A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: $(a-b)^2=a^2-2ab+b^2$

$\left(5xy\right)^2-20xym^3+\left(-2m^3\right)^2$
2

The power of a product is equal to the product of it's factors raised to the same power

$25x^2y^2-20xym^3+\left(-2m^3\right)^2$
3

$5^2\left(xy\right)^2-20xym^3+\left(-2m^3\right)^2$
4

Calculate the power $5^2$

$25\left(xy\right)^2-20xym^3+\left(-2m^3\right)^2$
5

The power of a product is equal to the product of it's factors raised to the same power

$25x^2y^2-20xym^3+\left(-2m^3\right)^2$

Final answer to the exercise

$25x^2y^2-20xym^3+\left(-2m^3\right)^2$

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
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  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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