Question

Simplify the expression given below. x+2/4x^2+5x+1 * 4x+1/x^2-4

Answer 1

D. 1/(x+1)(x-2)

Explanation:

i looked it up on a simplifier :)

Answer 2

`(1)/((x+1)(x-2))`

Explanation:

`(x+2)/(4x^2 + 5x + 1) \ * \ (4x+1)/(x^2-4)\\\\=(x+2)/(4x^2 + 4x + x + 1) \ * \ (4x+1)/(x^2-2^2)\\\\=(x+2)/(4x(x + 1) + 1( x + 1)) \ * \ (4x+1)/((x - 2)(x + 2)) \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=(x+2)/((4x + 1)(x+1)) \ * \ (4x+1)/((x-2)(x+2))\\\\=(1)/((x+1)) \ * \ (1)/((x-2))\\\\= (1)/((x+1)(x-2))`