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In Mathematics / High School | 2025-08-20

Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation relates the total amount of gasoline in the tank, [tex]$y$[/tex], to the number of gallons that she put in the tank, [tex]$x$[/tex]?
[tex]$y=4+x$[/tex]
[tex]$y=x-4$[/tex]
[tex]$y=4 \cdot x$[/tex]
[tex]$y=x+4$[/tex]

Asked by lopezcisco43

Answer (3)

4 x 2 − 12 x + 9 Use the formula ( a + b ) 2 = a 2 + 2 ab + b 2 .

Answered by Anonymous | 2024-06-10

**(** 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.
Learn more about square of number here
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Answered by lhhalimamalikbolakal | 2024-06-24

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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Answered by lhhalimamalikbolakal | 2024-10-10