Factorize completely 4x 3y 2 - 3x - 2y 2 - JAMB Mathematics 2008 Question
Factorize completely (4x + 3y)2 - (3x - 2y)2
A
(x + 5y)(7x + y)
B
(x + 5y)(7x - y)
C
(x - 5y)(7x + y)
D
(x - 5y)(7x -y)
correct option: a
(4x + 3y)2 - (3x - 2y)2
= 16x2 + 24xy + 9y - (9x2 - 12xy + 4y2)
= 7x2 + 36xy + 5y
= 7x2 + xy + 35xy + 5y2
= (7x2 + xy) + (35xy + 5y2)
= x(7x + y) + 5y(7x + y)
= (7x + y)(x + 5y)
= 16x2 + 24xy + 9y - (9x2 - 12xy + 4y2)
= 7x2 + 36xy + 5y
= 7x2 + xy + 35xy + 5y2
= (7x2 + xy) + (35xy + 5y2)
= x(7x + y) + 5y(7x + y)
= (7x + y)(x + 5y)
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