Question

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

Answer 1

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)