Question

СРОЧНО РЕШИТЕ ПРИМЕРЫ 10 КЛАСС АЛГЕБРа!!!

Answer 1

1) 957 * 959 - $958^{2}$ = 917763 - 917768 = -5

2) $49^{16} : 7^{30} = 7^{32} : 7^{30} = 7^{2} = 49$

3) $81^{-16} : 9^{-33} = 9^{-32} : 9^{-33} = 9$

4)  $(732+727)^{2} - 4 * 727 * 732 = 1459^{2} - 2128656 = 2128681 - 2128656 = 25$

Answer 2

1) 957 * 959 - 958² = (958 - 1)(958 + 1) - 958² =958² - 1 - 958² = - 1

2) 49¹⁶ : 7³⁰ = (7²)¹⁶ : 7³⁰ = 7³² : 7³⁰ = 7³²⁻³⁰ = 7² = 49

3) 81⁻¹⁶ : 9⁻³³ = (9²)⁻¹⁶ : 9⁻³³ = 9⁻³² : 9⁻³³ =9⁻³²⁻⁽⁻³³⁾ = 9⁻³²⁺³³ = 9¹ = 9

4) (732 + 727)² - 4 * 727 * 732 = 732² + 2 * 732 * 727 + 727² - 4 * 727 * 732 =

= 732² - 2 * 732 * 727 + 727² = (732 - 727)² = 5² = 25