Question

(t/p - p/t) * 3pt/p+t

Answer 1

Ответ:

(t^3-p^3)/pt*pt/(p+t)=(t-p)(t+p)/(t+p)=t-p

Объяснение:

Делим и умножаем а в конце минус потому что + на + = -

Answer 2

To simplify the expression, let's follow the order of operations (PEMDAS/BODMAS):

1. Parentheses
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

The given expression is:

(t/p - p/t) * 3pt/(p+t)

Step 1: Deal with parentheses if possible. There are no parentheses to simplify in this expression.

Step 2: Exponents. There are no exponents in this expression.

Step 3: Multiplication and Division (from left to right):

(t/p - p/t) * 3pt/(p+t)

Now, let's simplify the first part (t/p - p/t):

To simplify (t/p - p/t), we need to find a common denominator. The common denominator is p*t:

(tt - pp) / (p*t)

= (t^2 - p^2) / (p*t)

Step 4: Addition and Subtraction (from left to right):

Now, the expression becomes:

(t^2 - p^2) / (p*t) * 3pt/(p+t)

Next, we can cancel out common factors:

= (t + p)(t - p) / (p*t) * 3pt/(p+t)

Now, we can cancel out common factors in the second fraction:

= (t + p)(t - p) / (p*t) * 3t/(p+t)

Now, let's check if there are any common factors that can be canceled out between the two fractions:

The common factor is (p + t), which can be canceled out:

= (t - p) * 3t / t

= 3t(t - p) / t

= 3(t - p)

So, the simplified expression is 3(t - p).