Question

Посчитать : 72n+1/2n+3*2n+1

Answer 1

(72+0,5+6)*n + 1 = 78,5n + 1

Answer 2

72n+1/2n+3*2n+1=78,5n+1

Answer 3

To calculate the expression, you need to follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Let's solve the expression step-by-step:

Expression: (72n + 1) / (2n + 3) * (2n + 1)

Step 1: Simplify the expression inside the parentheses first.

Expression inside the first parentheses: 72n + 1 Expression inside the second parentheses: 2n + 1

Step 2: Now, multiply the two expressions inside the parentheses.

72n * (2n + 1) = 144n^2 + 72n 1 * (2n + 1) = 2n + 1

Step 3: Rewrite the original expression with the results from Step 2:

(144n^2 + 72n) / (2n + 3) * (2n + 1)

Step 4: Now, multiply the two fractions:

(144n^2 + 72n) * (2n + 1) / (2n + 3)

Step 5: Distribute (multiply) the terms:

(144n^2 * 2n) + (144n^2 * 1) + (72n * 2n) + (72n * 1) / (2n + 3)

Step 6: Simplify each term:

288n^3 + 144n^2 + 144n + 72n / (2n + 3)

Step 7: Combine like terms in the numerator:

288n^3 + 144n^2 + 216n / (2n + 3)

The final expression is:

(288n^3 + 144n^2 + 216n) / (2n + 3)