Respuesta :
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Answer: [tex]\textsf{9x}^2\textsf{ - 12x + 4}[/tex]
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Given: [tex]\textsf{(3x - 2)}^2[/tex]
Find: [tex]\textsf{Simplify the expression}[/tex]
Solution: It looks like 2 is at the end of the parenthesis where the power would be instead of distributing the number. If so the following steps would be followed.
Expand
- [tex]\textsf{(3x - 2)}^2[/tex]
- [tex]\textsf{(3x - 2)(3x - 2)}[/tex]
- [tex]\textsf{(3x * 3x) + (3x * (-2)) + (3x * (-2)) + (-2 * (-2))}[/tex]
Simplify
- [tex]\textsf{9x}^2\textsf{ - 6x - 6x + 4}[/tex]
- [tex]\textsf{9x}^2\textsf{ - 12x + 4}[/tex]
Therefore, after following the provided information we are able to determine that the expanded form would be 9x^2 - 12x + 4.