Factorize 4a\(^2\) - 9b\(^2\)

Assessment: JAMB UTME - Mathematics - 2022 Subject: General Mathematics

Question 1 Report

Factorize 4a\(^2\) - 9b\(^2\)
Answer Details
To factorize 4a\(^2\) - 9b\(^2\), we can use the difference of squares formula, which states that a\(^2\) - b\(^2\) = (a+b) (a-b). We just need to recognize that 4a\(^2\) is a\(^2\) multiplied by 4, and 9b\(^2\) is b\(^2\) multiplied by 9. Then we have: 4a\(^2\) - 9b\(^2\) = (2a)\(^2\) - (3b)\(^2\) = (2a + 3b) (2a - 3b) Therefore, the correct answer is (2a+3b) (2a-3b).

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