bgxjixn bgxjixn

06-10-2020
Mathematics

contestada

Factor the expression given below. Write each factor as a polynomial in
descending order. Enter exponents using the caret (^).
125x^3+343y^3

Respuesta :

jimrgrant1 jimrgrant1

06-10-2020

Answer:

(5x + 7y)(25x² - 35xy + 49y²)

Step-by-step explanation:

125x³ + 343y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b³) , thus

125x³ + 243y³

= (5x)³ + (7y)³

= (5x + 7y)((5x)² - 5x(7y) + (7y)² )

= (5x + 7y)(25x² - 35xy + 49y²)

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