Question

M^2-2m/3÷m/2 при m=5

Answer 1

M²-2m/3:m/2=m²-(2m•2)/(3•m)=m²-4/3.
При m=5:
5²-4/3=25-4/3=25-1, 1/3=23 целых и 2/3.

Ответ: 23 целых и 2/3.

Answer 2

To simplify the expression and evaluate it for m = 5, let's break it down step by step:

Given expression: (M^2 - 2M) / 3 ÷ M / 2

Step 1: Simplify the numerator (M^2 - 2M): (M^2 - 2M) / 3 ÷ M / 2 = (M(M - 2)) / 3 ÷ M / 2 = (M(M - 2)) / 3 * 2 / M [Flipping the division to multiplication and multiplying by the reciprocal]

Step 2: Simplify the expression further: (M(M - 2)) / 3 * 2 / M = (2M(M - 2)) / (3M) [Simplifying the expression by canceling out common factors]

Step 3: Evaluate the expression for m = 5: (2(5)(5 - 2)) / (3(5)) = (2(5)(3)) / (3(5)) = 10 / 3 = 3.33333... (recurring decimal)

Therefore, when m = 5, the expression (M^2 - 2M) / 3 ÷ M / 2 is equal to approximately 3.33333 (recurring decimal).