Question

x^2 + ( a+1/a) x+1
pls I need help pls fast​

Answer 1

Answer:

2

+

(

+

1

)

+

1

0

Step-by-step explanation:

Answer 2

Complete question.

We have to factorize the expression

$\quad \mathsf{x^{2}+(a+\dfrac{1}{a})x+1}$

Step-by-step explanation:

Now, $\mathsf{x^{2}+(a+\dfrac{1}{a})x+1}$

• open the first brackets

$\mathsf{=x^{2}+ax+\dfrac{x}{a}+1}$

• take $\mathsf{ax}$ common from the first two terms and $\mathsf{1}$ from the last two terms

$\mathsf{=ax(\dfrac{x}{a}+1)+1(\dfrac{x}{a}+1)}$

• take $\mathsf{(\dfrac{x}{a}+1)}$ common from the terms

$\mathsf{=(\dfrac{x}{a}+1)(ax+1)}$

• this factorized form can be simplified further

$\mathsf{=\dfrac{1}{a}(x+a)(ax+1)}$

This is the required factorization.

Answer:

$\boxed{\mathsf{x^{2}+(a+\dfrac{1}{a})x+1=\dfrac{1}{a}(x+a)(ax+1)}}$