Factorize completely 9y 2 - 16X 2

Correct Answer is : (3y - 4x)(3y + 4x)

Correct Answer is : (3y - 4x)(3y + 4x)

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JAMB Mathematics 2011 Paper

Question : 12

Total: 46

Factorize completely 9y² - 16X²

Solution:

Concept:

The expression is a difference of two squares.

Explanation:

Write each term as a square:

9y^2 = (3y)^2

and

16x^2 = (4x)^2

9y^2 - 16x^2 = (3y)^2 - (4x)^2

Use the difference of two squares formula:

a^2 - b^2 = (a - b)(a + b)

Here,

a = 3y

and

b = 4x

Therefore,

9y^2 - 16x^2 = (3y - 4x)(3y + 4x)

Answer:

(3y - 4x)(3y + 4x)

, which is option D.

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