<h3>✒️EVALUATION </h3>
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![\large\sf\underline{Problem:}](https://tex.z-dn.net/?f=%5Clarge%5Csf%5Cunderline%7BProblem%3A%7D)
What is the product of (2x-7) and (3x + 3)?
- A. 6x2 + 15x-21
- B. 6x2 - 15x - 21
- C. 6x2 + 15x + 21
- D. 6x2 - 15x + 21
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![\large\sf\underline{Answer:}](https://tex.z-dn.net/?f=%5Clarge%5Csf%5Cunderline%7BAnswer%3A%7D)
![\qquad \qquad \huge \rm Letter\:B.](https://tex.z-dn.net/?f=%5Cqquad%20%5Cqquad%20%5Chuge%20%5Crm%20Letter%5C%3AB.)
*Please read and understand my solution. Don't just rely on my direct answer*
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![\large\sf\underline{Solution:}](https://tex.z-dn.net/?f=%5Clarge%5Csf%5Cunderline%7BSolution%3A%7D)
Here we have the given choices:
- A. 6x2 + 15x-21
- B. 6x2 - 15x - 21
- C. 6x2 + 15x + 21
- D. 6x2 - 15x + 21
Solve this equation using the distributive property,where you multiply each term to get the number.
![\begin{gathered} \rm2x - 7 = \boxed{ 6} \: \bigg| \small\boxed{\: 6 {x}^{2} } \\ \rm (7)(3) = \boxed{21} \bigg | \boxed{\: 21 x} \\ \\ \qquad \rm6x^{2}+(6x- 21x)-21 \\ \qquad \boxed{ \rm6 {x}^{2} + 15x - 21}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Crm2x%20-%207%20%3D%20%5Cboxed%7B%206%7D%20%5C%3A%20%5Cbigg%7C%20%5Csmall%5Cboxed%7B%5C%3A%206%20%7Bx%7D%5E%7B2%7D%20%7D%20%5C%5C%20%5Crm%20%287%29%283%29%20%3D%20%5Cboxed%7B21%7D%20%5Cbigg%20%7C%20%5Cboxed%7B%5C%3A%2021%20x%7D%20%5C%5C%20%5C%5C%20%5Cqquad%20%5Crm6x%5E%7B2%7D%2B%286x-%2021x%29-21%20%5C%5C%20%5Cqquad%20%5Cboxed%7B%20%5Crm6%20%7Bx%7D%5E%7B2%7D%20%2B%2015x%20-%2021%7D%5Cend%7Bgathered%7D)
Therefore, the correct option is letter B.
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