(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.