Answer :
Sure, let's multiply [tex]\(-5x(7 - 2x)\)[/tex] step by step.
1. Distribute [tex]\(-5x\)[/tex] into the expression [tex]\(7 - 2x\)[/tex]:
- Multiply [tex]\(-5x\)[/tex] by [tex]\(7\)[/tex]:
[tex]\(-5x \times 7 = -35x\)[/tex]
- Multiply [tex]\(-5x\)[/tex] by [tex]\(-2x\)[/tex]:
[tex]\(-5x \times -2x = 10x^2\)[/tex]
2. Combine the terms:
- After distributing, you get two terms: [tex]\(-35x\)[/tex] and [tex]\(10x^2\)[/tex].
- Combine these terms to form the expression: [tex]\(10x^2 - 35x\)[/tex].
The expression [tex]\(-5x(7 - 2x)\)[/tex] simplifies to [tex]\(10x^2 - 35x\)[/tex].
However, when looking at the multiple-choice options, it seems they did not use a similar format to list their terms. But none of the given choices match this format exactly. The closest structured option is [tex]\(-35x + 10x^2\)[/tex], which is indeed equivalent because it contains the same terms as [tex]\(10x^2 - 35x\)[/tex], just ordered differently. So, the correct answer is:
[tex]\(-35x + 10x^2\)[/tex]
1. Distribute [tex]\(-5x\)[/tex] into the expression [tex]\(7 - 2x\)[/tex]:
- Multiply [tex]\(-5x\)[/tex] by [tex]\(7\)[/tex]:
[tex]\(-5x \times 7 = -35x\)[/tex]
- Multiply [tex]\(-5x\)[/tex] by [tex]\(-2x\)[/tex]:
[tex]\(-5x \times -2x = 10x^2\)[/tex]
2. Combine the terms:
- After distributing, you get two terms: [tex]\(-35x\)[/tex] and [tex]\(10x^2\)[/tex].
- Combine these terms to form the expression: [tex]\(10x^2 - 35x\)[/tex].
The expression [tex]\(-5x(7 - 2x)\)[/tex] simplifies to [tex]\(10x^2 - 35x\)[/tex].
However, when looking at the multiple-choice options, it seems they did not use a similar format to list their terms. But none of the given choices match this format exactly. The closest structured option is [tex]\(-35x + 10x^2\)[/tex], which is indeed equivalent because it contains the same terms as [tex]\(10x^2 - 35x\)[/tex], just ordered differently. So, the correct answer is:
[tex]\(-35x + 10x^2\)[/tex]
