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MATHEMATICS

JAMB 2001 - Question 8

Mathematics 2001 JAMB Past Questions - Question 8: factorize 4X²-9y²+20X+25

factorize 4X²-9y²+20X+25

A: (2x-3y+5)

B: (2x - 3y+5(2x+3y+5)

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

D: (2x +5)(2x-9y+5)

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Correct Answer

Explanation

To factorize the expression 4X² - 9y² + 20X + 25, we can group the terms and look for common factors.Grouping the terms, we have:(4X² + 20X) - (9y² - 25)Now, let's factor each group separately:For the first group, we can factor out 4X:4X(X + 5)For the second group, we can recognize it as the difference of squares:(3y - 5)(3y + 5)Putting it all together, we have:4X(X + 5) - (3y - 5)(3y + 5)Therefore, the factored form of the expression 4X² - 9y² + 20X + 25 is 4X(X + 5) - (3y - 5)(3y + 5).