Select all that apply. How can you provide context for your external-informational message?
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C. Thank readers for using your product or service.
D. Clearly and directly state your objective to readers.
Answer (3)
4 x 2 − 12 x + 9 Use the formula ( a + b ) 2 = a 2 + 2 ab + b 2 .
**(** 2x - 3)² (squared) simplifies to 4x² - 12x + 9.
The Breakdown
(2x - 3)² = (2x - 3) × (2x - 3)
Using the FOIL method, which stands for First , Outer , Inner , Last , you multiply the terms as follows
First: (2x) × (2x) = 4x²
Outer: (2x) × (-3) = -6x
Inner: (-3) × (2x) = -6x
Last: (-3) × (-3) = 9
Collect the like term
4x² - 6x - 6x + 9
4x² - 12x + 9
(2x -3)²= 4x² - 12x + 9.
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The expression \((2x - 3)^{2}\) simplifies to \( 4x^{2} - 12x + 9. \ This is achieved by using the FOIL method to expand the squared binomial. Step-by-step multiplication of terms leads to the final simplified form.
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