Respuesta :

The expand each binomial. (x - 2)⁵ is:

x⁴ - 8x³ + 24x² - 32x  + 16

What is a polynomial?

  A polynomial is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms.

Depending on the number of terms it can be :

  • monomial
  • binomial
  • trinomial

We solve first by perfect square trinomial, then we apply the distributive property.

  • (a - b) = a² + 2ab + b²

(x - 2)⁴ = (x-  2)²(x - 2)²

(x - 2)⁴ = (x² - 4x + 4)(x² - 4x + 4)

(x - 2)⁴ = (x⁴ - 4x³ + 4x²) + (-4x³ + 16x² - 16x) + (4x² - 16x + 16)

(x - 2)⁴ = x⁴ - 4x³ + 4x² -4x³ + 16x² - 16x + 4x² - 16x + 16

(x - 2)⁴ = x⁴ - 8x³ + 24x² - 32x  + 16

Learn more about polynomial in:

brainly.com/question/10241002

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