Question

(7,26)³-(2,74)³___________________+7.26*2.74 4,52

Answer 1

$\dfrac{(7,26)^3-(2,74)^3}{4,52}+7,26\cdot 2,74=\\\\\\=\dfrac{(7,26-2,74)(7,26^2+7,26\cdot 2,74+2,74^2)}{4,52}+7,26\cdot 2,74=\\\\\\=\dfrac{4,52\cdot (7,26^2+7,26\cdot 2,74+2,74^2)}{4,52}+7,26\cdot 2,74=\\\\\\=(7,26^2+7,26\cdot 2,74+2,74^2)+7,26\cdot 2,74=\\\\\\=7,26^2+2\cdot 7,26\cdot 2,74+2,74^2=(7,26+2,74)^2=10^2=100$

Answer 2

((7.26-2.74)(7.26²+7.26*2.74+2.74²)/4.52)+7.26*2.74=

7.26²+7.26*2.74+2.74²+7.26*2.74=(7.26+2.74)²=100

Использовал формулы (а³-с³)=(а-с)(а²+ас+с²)  и а²+2ас+с²= (а+с)²

Answer 3

To solve the expression, let's break it down step by step:

(7,26)³ represents the cube of the number 7.26.

(2,74)³ represents the cube of the number 2.74.

Let's calculate these cubes:

(7.26)³ = 370.654776

(2.74)³ = 20.488984

Now, let's substitute these values back into the expression:

(7,26)³ - (2,74)³ + 7.26 * 2.74 / 4.52

= 370.654776 - 20.488984 + 7.26 * 2.74 / 4.52

Now, let's calculate 7.26 * 2.74:

7.26 * 2.74 = 19.89484

Now, substitute this value back into the expression:

= 370.654776 - 20.488984 + 19.89484 / 4.52

Now, let's calculate 19.89484 / 4.52:

19.89484 / 4.52 = 4.400485619

Now, substitute this value back into the expression:

= 370.654776 - 20.488984 + 4.400485619

Now, let's calculate the final result:

= 354.665277619

Therefore, the final result of the expression (7,26)³ - (2,74)³ + 7.26 * 2.74 / 4.52 is approximately 354.665277619.