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2001

Mathematics

JAMB

Factorize 4x2 - 9y2 + 20x + 25

A.

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

B.

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

C.

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

D.

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

Correct Answer: (2x - 3y +5)(2x + 3y + 5)

Explanation

Given: 4x2 - 9y2 + 20x + 25 Collect like terms: 4x2 + 20x + 25 - 9y2 (2x + 5)(2x + 5) - 9y2 (2x + 5)2 - (3y)2 (2x - 3y +5)(2x + 3y + 5)

Given: 4x2 - 9y2 + 20x + 25 Collect like terms: 4x2 + 20x + 25 - 9y2 (2x + 5)(2x + 5) - 9y2 (2x + 5)2 - (3y)2 (2x - 3y +5)(2x + 3y + 5)
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