3a +4/4a+4 x a^2 - 6a -7
Asking for the product so confused
(3a+4)/(4a+4) * (a^2-6a-7)
= (3a+4)/(4(a+1)) * (a+1)(a-7)
The (a+1) factors out of top and bottom, leaving
= (3a+4)(a-7)/4
= (3a^2-17a-28)/4
To find the product of the given expression, we need to simplify it first. Let's break down the expression step by step:
1. Distribute the multiplication to each term inside the parentheses:
3a + (4/4a) × (a^2 - 6a - 7)
2. Simplify the fraction:
3a + 1 × (a^2 - 6a - 7)
3. Multiply the fraction with the expression inside the parentheses:
3a + a^2 - 6a - 7
4. Combine like terms:
(3a - 6a) + a^2 - 7
We have -3a + a^2 - 7.
Therefore, the product of the given expression is -3a + a^2 - 7.