Respuesta :

Edufirst

Answer:

The second and the third terms from the choices:

  • 5m⁴n³, and
  • 10m⁴n¹⁵

Explanation:

The greatest common factor of a set of numbers is found by:

         1) Write each number as a product of prime factors, each factor raised to the corresponding exponent (power);

         2) Choose only the common prime factors, with the least exponent.

Example: find the greatest common factor of 35x²y³ and 15xy²

  • Prime factorization: 35x²y³ = 5¹ . 7¹ . x² . y³

                                         15xy² = 3¹ . 5¹ . x¹ . y²

  • Common factors (each raised to its least exponent): 5¹, x¹, and y²

  • Greatest common factor (make the product): 5 . x . y² = 5xy²

Now apply the process to the given terms:

  • m⁵n⁵ : these are prime factors

  • 5m⁴n³: these are prime factors

  • 10m⁴n¹⁵: prime factors = 2 . 5 . m⁴ n¹⁵

.

  • m²n²: these are prime factors

  • 24m³n⁴: prime factors = 2³ . 3 . m³ n⁴

The terms that could have a greatest common factor of 5m²n², are those that include 5m²n², and those are:

  • 5m⁴n³, and

  • 2 . 5 . m⁴ n¹⁵ = 10m⁴n¹⁵

These are the second and the third terms from the choices.

Answer:

5m⁴n³, and

10m⁴n¹⁵

Explanation:

Otras preguntas