Find the quotient of ' (16t^2-4) / (8t+4) '

here we have to find the quotient of ' (16t^2-4) / (8t+4) '

now we can write 16t^2 - 4 as (4t) ^2 - (2) ^2

the above expression is equal to (4t + 2) (4t - 2)

there is another expression (8t + 4)

the expression can also be written as 2 (4t + 2)

now we have to divide both the expressions

by dividing both the expressions we would get (4t + 2) (4t - 2) / 2 (4t + 2)

therefore the quotient is (4t - 2) / 2

the expression comes out to be (2t - 1)