4t^2-4/9(t+1)^2 * 3t+3/2t-2
What about it?
I don't see a question.
line slope (0,3)(5,7)
Simplify it
To simplify the expression, we need to apply the rules of algebra.
Step 1: Simplify the numerator of the first fraction.
The numerator of the first fraction is 4t^2 - 4. There are no like terms to combine or simplify further.
Step 2: Simplify the denominator of the first fraction.
The denominator of the first fraction is (t+1)^2. To simplify this, we can expand it using the formula (a+b)^2 = a^2 + 2ab + b^2.
So, (t+1)^2 = t^2 + 2t(1) + 1 = t^2 + 2t + 1.
Step 3: Simplify the numerator of the second fraction.
The numerator of the second fraction is 3t + 3. There are no like terms to combine or simplify further.
Step 4: Simplify the denominator of the second fraction.
The denominator of the second fraction is 2t - 2. There are no common factors to simplify.
Now, we can rewrite the expression in its simplified form:
(4t^2 - 4)/(t^2 + 2t + 1) * (3t + 3)/(2t - 2)
Next, we need to simplify further by canceling out common factors between the numerator and denominator.
Step 5: Cancel out the common factor of (t+1) between the numerator and denominator of the first fraction.
After canceling out the common factor of (t+1), we are left with:
(4t^2 - 4)/(t+1) * (3t + 3)/(2t - 2)
Step 6: Cancel out the common factor of 2 between the numerator and denominator of the second fraction.
After canceling out the common factor of 2, we are left with:
(4t^2 - 4)/(t+1) * (3t + 3)/(t - 1)
And that is the simplified form of the given expression.