Question

А)8*15²+7*5³-6*7³ б)(6*8)²+6*8²-(6+8)²

Answer 1

Ответ:

Пошаговое объяснение:

а)=8*225+7*125-6*343=1800+875-2058=2675-2058=617

b)

$48^{2} +6*8^{2}-14^{2} =(24*2)^{2} +6*8^{2}-(7*2)^{2}=24^{2} *2^{2} +6*8^{2} -7^{2}*2^{2}=((24-7)*24+7)+96)*4=(17*31+96)*4=(527+96)*4=623*4=2492$

Answer 2

Let's solve the two mathematical expressions step by step:

А) 8 * 15² + 7 * 5³ - 6 * 7³

Step 1: Calculate the squares and cubes: 15² = 15 * 15 = 225 5³ = 5 * 5 * 5 = 125 7³ = 7 * 7 * 7 = 343

Step 2: Substitute the values: 8 * 225 + 7 * 125 - 6 * 343

Step 3: Perform the multiplication: 8 * 225 = 1800 7 * 125 = 875 6 * 343 = 2058

Step 4: Perform the additions and subtractions: 1800 + 875 - 2058 = 617

So, the result of expression A is 617.

B) (6 * 8)² + 6 * 8² - (6 + 8)²

Step 1: Calculate the squares and the addition in parentheses: (6 * 8)² = 48² = 48 * 48 = 2304 (6 + 8)² = 14² = 14 * 14 = 196

Step 2: Calculate 8²: 8² = 8 * 8 = 64

Step 3: Substitute the values: 2304 + 6 * 64 - 196

Step 4: Perform the multiplication and subtraction: 6 * 64 = 384 2304 + 384 - 196 = 2492

So, the result of expression B is 2492.