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Productos notables (4xy2-5z3)2

User Mensah
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1 Answer

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Final answer:

To square the binomial (4xy² - 5z³)², we use the formula (a - b)² to get 16x² y⁴ - 40x¹y² z³ + 25z⁶.

Step-by-step explanation:

The question asks us to square the binomial (4xy² - 5z³)².

Squaring a binomial is a concept in algebra that means we need to multiply the binomial by itself. The formula for squaring a binomial (a - b)² is a² - 2ab + b².

Therefore, we can expand the binomial (4xy² - 5z³)² using this formula:

  • First, we find the square of the first term: (4xy² )² = 16x² y⁴.
  • Second, we find twice the product of the two terms: 2 × (4xy² ) × (-5z³) = -40x¹y² z³.
  • Finally, we find the square of the second term: (-5z³)² = 25z⁶.

Putting it all together, we get the expanded form of the binomial: 16x² y⁴ - 40x¹y² z³ + 25z⁶

User Glessard
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