Question

Efectuati dand factor comun.
a) 3^2×5+3^2×7
b) 2025^2019 - 2024×2025^2018
c) (7^10×7^9)÷(7^9-7^8)
d) 5^3×2^6-5^3×7^2
Va rog.

Answer 1

a)   3² x 5 + 3² x 7 = 3² x ( 5 + 7 ) = 9 x 12 = 108

b)  2025²⁰¹⁹ - 2024 x 2025²⁰¹⁸ = 2025²⁰¹⁸ x ( 2025 - 2024 ) = 2025²⁰¹⁸

c)  ( 7¹⁰ x 7⁹ ) : ( 7⁹ - 7⁸ ) = 7¹⁹ : 7⁸ x ( 7 - 1 ) = 7¹¹ / 6

d)  5³ x 2⁶ - 5³ x 7² = 5³ x ( 2⁶ - 7² ) = 125 x ( 64 - 49 ) = 125  x 15 = 1 875