The image shows the cover of a textbook titled “Foundations of Algebra Sourcebook” by Sadlier-Oxford. It includes various visual elements like the Golden Gate Bridge, puzzle pieces, bees on honeycomb, test tubes with liquid, and a math equation:
(2x + 9)(2x – 9) = 4x² – 81
Since no specific homework problem was given — only the book cover — there is no actual task to solve.
However, if we assume the implied task is to
verify whether the equation shown is correct, then we can work through it step by step.
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Let’s check if (2x + 9)(2x – 9) really equals 4x² – 81.
This is a special pattern in algebra called the
difference of squares:
> (a + b)(a – b) = a² – b²
In this case:
- a = 2x
- b = 9
So:
(2x + 9)(2x – 9) = (2x)² – (9)²
= 4x² – 81
✔ That matches exactly what’s written on the cover.
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Final Answer:
The equation (2x + 9)(2x – 9) = 4x² – 81 is correct.
Parent Tip: Review the logic above to help your child master the concept of foundations of algebra worksheet.
