i need help with this quretsion ; i don't know if im right, and i dontknwo what do next

question expand and simplfy:

4√7(2√3 + 3√6 - √7)
my work
= 8√21 + 12√42 -4√49

please help me

To expand and simplify the expression 4√7(2√3 + 3√6 - √7), you need to distribute the 4√7 to every term inside the parentheses.

Let's go through it step by step:

Step 1: Distribute 4√7 to 2√3:
4√7 * 2√3 = 8√21

Step 2: Distribute 4√7 to 3√6:
4√7 * 3√6 = 12√42

Step 3: Distribute 4√7 to -√7:
4√7 * -√7 = -4√49

Now, you can combine these simplified terms:

8√21 + 12√42 - 4√49

The expression is now simplified and cannot be simplified any further.

So, your final answer is: 8√21 + 12√42 - 4√49.