Question

Find the product (8/6n-4)(9n^2-4)

Answer 1

Answer: 1 and the second part is 12n+8

Step-by-step explanation:Edgen2020

Answer 2

4(3n+2) or 12n+8

Explanation:

Given expression is:

`((8)/(6n-4))(9n^(2)-4)`

The numerator of the fraction will be multiplied with 9n^2- 4

So, Multiplication will give us:

`=(8(9n^2-4))/(6n-4)`

We can simplify the expression before multiplication.

The numerator will be broken down using the formula:

`a^2 - b^2 = (a+b)(a-b)\\So,\\= (8[(3n)^2 - (2)^2])/(6n-4)\\ = (8(3n-2)(3n+2))/(6n-4)`

We can take 2 as common factor from denominator

`=(8(3n-2)(3n+2))/(2(3n-2))\\After\ cutting\\= 4(3n+2)`

Hence the product is 4(3n+2) or 12n+8 ..