# How do you simplify the following expressions: #(x)/(sqrt(x+5)-sqrt(5))#? #(1/x)/(x-1/2)#? #x^4+11x^2-80#? #e^x(2x+1)^3+e^2x(2x+1)^2#? #x^3-xy^2+x^2y-y^3#?

##### 2 Answers

You have posted too many questions on the one page. Please allocate one solution request page to each question.

#### Explanation:

Solution to the first one.

Given:

'.......................................................................................................................

Known that if you have

We have the equivalent of

,.........................................................................................................................

Multiply by 1 but in the form of

This will result in squaring the square roots in the denominator

I will factorize

#### Explanation:

Problems like this are often meant to be factored as

We use the same strategy to factor trinomials of this type as we do to factor those of the form

Hence,

This is as far as we can go, because nothing can be factored further.

Hopefully this helps!