(3+sqrt x)(4- 3sqrt x)
is the answer 12- 5x sqrt
You forgot to multiply sqrt(x) with -3sqrt(x) and add this to the result.
If you do so, you get an additional term with -3x
So it would be 12-5sqrtx-3x?
Yes, that's the correct answer.
To find the product of the two terms, (3 + √x) and (4 - 3√x), you can use the distributive property of multiplication over addition.
Step 1: Multiply the first term of the first bracket (3) by each term in the second bracket (4 and -3√x).
3 * 4 = 12
3 * (-3√x) = -9√x
Step 2: Multiply the second term of the first bracket (√x) by each term in the second bracket (4 and -3√x).
√x * 4 = 4√x
√x * (-3√x) = -3x
Now, you have the following terms:
12, -9√x, 4√x, -3x.
Step 3: Combine the like terms, if any.
You have no like terms in this case.
Step 4: Simplify the expression.
Putting all the terms together, the expression becomes:
(3 + √x)(4 - 3√x) = 12 - 9√x + 4√x - 3x
Combining like terms, you have:
12 - 5√x - 3x.
So, the answer is 12 - 5√x - 3x.