https://file.aiquickdraw.com/mathbot/file/1728547682471xddm5kme.jpg

Let's work through the expression step by step:

You are asked to expand and simplify the expression:
\[
4(3\sqrt{7} - 5)
\]

### Step 1: Distribute the 4 across the terms inside the parentheses.
\[
4 \times 3\sqrt{7} - 4 \times 5
\]

### Step 2: Simplify each term.
\[
12\sqrt{7} - 20
\]

Thus, the expanded and simplified expression is:
\[
12\sqrt{7} - 20
\]

Would you like more details or have any other questions?

### Related questions:
1. How do you simplify expressions involving square roots?
2. Can you explain how to distribute over more complex terms?
3. What are the properties of square roots in algebraic expressions?
4. How would you handle a similar expression if there were cube roots involved instead of square roots?
5. What steps would change if we had an addition sign instead of subtraction inside the parentheses?

### Tip:
When simplifying expressions with square roots, always check if the square root can be further simplified (e.g., if the number under the root is a perfect square).

Learn how to expand and simplify the expression 4(3√7 - 5) using the distributive property. This solution simplifies the expression step-by-step, covering key algebraic concepts such as radicals and multiplication. Suitable for students in Grades 8-10.

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