(3+sqrt x)(4- 3 sqrt x)

To simplify the expression (3 + √x)(4 - 3√x), we can use the distributive property of multiplication over addition.

First, let's apply the distributive property to simplify the expression:

(3 + √x)(4 - 3√x) = 3(4) + 3(-3√x) + √x(4) + √x(-3√x)

Next, simplify each term:

= 12 - 9√x + 4√x - 3√x√x

Now, let's simplify the square root term (√x)(√x) to x:

= 12 - 9√x + 4√x - 3x

Now, combine like terms:

= 12 - 5√x - 3x

So, the simplified expression is 12 - 5√x - 3x.