Question

(2+t/t+1):3t^2+3t/12t+8 50-баллов

Answer 1

4/3t^2 +8целых 1 одна 4 четвёртая

/-это значит дробь

Answer 2

To simplify the expression (2 + t)/(t + 1) : (3t^2 + 3t)/(12t + 8), we need to perform the following steps:

Step 1: Factorize where possible Step 2: Cancel out common factors Step 3: Simplify the expression

Let's proceed with the simplification:

Step 1: Factorize where possible

(t + 1) is already factored, but the other expression can be factorized as follows: 3t^2 + 3t = 3t(t + 1) 12t + 8 = 4(3t + 2)

Step 2: Cancel out common factors

Now, we can rewrite the expression with the factorized forms:

[(2 + t)/(t + 1)] : [(3t^2 + 3t)/(12t + 8)] = [(2 + t)/(t + 1)] : [3t(t + 1)/4(3t + 2)]

Next, we can cancel out common factors between the numerator and denominator:

[(2 + t)/(t + 1)] : [3t(t + 1)/4(3t + 2)] = [(2 + t)/(t + 1)] * [4(3t + 2)/(3t(t + 1))]

Step 3: Simplify the expression

Now, we can simplify the expression by multiplying the fractions:

[(2 + t)/(t + 1)] * [4(3t + 2)/(3t(t + 1))] = [4(2 + t)(3t + 2)] / [(t + 1)(3t(t + 1))]

Next, we can distribute and simplify the numerator:

[4(2 + t)(3t + 2)] = 4(6t^2 + 4t + 6t + 4) = 4(6t^2 + 10t + 4) = 24t^2 + 40t + 16

And the denominator remains unchanged: (t + 1)(3t(t + 1))

So, the simplified expression is:

(2 + t)/(t + 1) : (3t^2 + 3t)/(12t + 8) = (24t^2 + 40t + 16) / [(t + 1)(3t(t + 1))]