Question
Multiply. \( -7 x(x-2) \) \( -7 x(x-2)=\square \) (Simplify your answer.)
Ask by Craig Joseph. in the United States
Feb 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(-7x^2 + 14x\)
Solution
To multiply -7x by (x - 2), distribute -7x over the terms inside the parentheses:
• (-7x) × x = -7x²
• (-7x) × (-2) = 14x
Thus, the simplified expression is:
-7x² + 14x
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To simplify the expression \(-7 x(x-2)\), you start by applying the distributive property. Multiply \(-7x\) by each term inside the parentheses: \(-7x \cdot x = -7x^2\) \(-7x \cdot -2 = 14x\) Now, you can combine these results: \(-7 x(x-2) = -7x^2 + 14x\) So the simplified answer is \(-7x^2 + 14x\).