Answer :

To multiply [tex]\(-5x(7 - 2x)\)[/tex], we'll use the distributive property. Here's a step-by-step guide:

1. Understand the Distributive Property: The distributive property states that [tex]\(a(b + c) = ab + ac\)[/tex]. We'll apply this to the expression [tex]\(-5x(7 - 2x)\)[/tex].

2. Distribute Each Term:
- First, distribute [tex]\(-5x\)[/tex] to [tex]\(7\)[/tex]:
[tex]\[
-5x \times 7 = -35x
\][/tex]
- Next, distribute [tex]\(-5x\)[/tex] to [tex]\(-2x\)[/tex]:
[tex]\[
-5x \times (-2x) = 10x^2
\][/tex]
- Here, the negative signs cancel out, making it a positive result.

3. Combine the Terms:
- After distributing, our expression becomes:
[tex]\[
-35x + 10x^2
\][/tex]

4. Write the Final Answer:
- The simplified result of the expression [tex]\(-5x(7 - 2x)\)[/tex] is:
[tex]\[
-35x + 10x^2
\][/tex]

And that's the detailed step-by-step solution!

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