# How do you multiply (x + -3)(10x + -20)?

Aug 8, 2017

$10 {x}^{2} - 50 x + 60$

#### Explanation:

$\left(x + - 3\right) \left(10 x + - 20\right)$

$=$ $\left(x - 3\right) \left(10 x - 20\right)$

$=$ $x \cdot \left(10 x - 20\right) - 3 \cdot \left(10 x - 20\right)$

$=$ $\left(10 {x}^{2} - 20 x\right) - 30 x + 60$

$=$ $10 {x}^{2} - 20 x - 30 x + 60$

$=$ $10 {x}^{2} - 50 x + 60$
The text contains a mathematical question about multiplying two binomials, followed by a detailed step-by-step solution to the problem.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# How do you multiply (x + -3)(10x + -20)?

Aug 8, 2017

$10 {x}^{2} - 50 x + 60$

#### Explanation:

$\left(x + - 3\right) \left(10 x + - 20\right)$

$=$ $\left(x - 3\right) \left(10 x - 20\right)$

$=$ $x \cdot \left(10 x - 20\right) - 3 \cdot \left(10 x - 20\right)$

$=$ $\left(10 {x}^{2} - 20 x\right) - 30 x + 60$

$=$ $10 {x}^{2} - 20 x - 30 x + 60$

$=$ $10 {x}^{2} - 50 x + 60$
user
The text contains a mathematical question about multiplying two binomials, followed by a detailed step-by-step solution to the problem.

TYPE: SINGLE_QUESTION_WITH_ANSWER