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)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
(4x+3y)\(^2\) - (3x-2y)\(^2\)
Using the differences of two squares:
(4x+3y+3x-2y)(4x+3y-(3x-2y))
(4x+3y+3x-2y)(4x+3y-3x+2y)
(x+5y)(7x+y)
Source: WAEC / JAMB / NECO Classroom Archive (Record #9270)