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MATHEMATICS

JAMB 2011 - Question 14

Mathematics 2011 JAMB Past Questions - Question 14: Factorize completely 9y² - 16 x²

Factorize completely 9y² - 16 x²

A: (3y-2x)(3y+4x)

B: (3y+4x)(3y+4x)

C: (3y+2x)(3y-4x)

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

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Correct Answer

Explanation

9ysup3 -16xsup23sup2 - 4sup2xsup2(3y - 4x) (3y +4x)To factorize completely the expression 9y² - 16x², we can use the difference of squares formula, which states that a² - b² can be factored as (a + b)(a - b).In this case, we have 9y² - 16x², which can be rewritten as (3y)² - (4x)².Using the difference of squares formula, we can factorize it as follows:(3y + 4x)(3y - 4x)Therefore, the expression 9y² - 16x² can be completely factorized as (3y + 4x)(3y - 4x).