Factorize (4a + 3)2 – (3a – 2)2
-
A.
(a + 1)(a + 5) -
B.
(a – 5)(7a – 1) -
C.
(a + 5)(7a + 1) -
D.
a(7a + 1)
Correct Answer: Option C
Explanation
(4a + 3)2 – (3a – 2)2 = a2 – b2
= (a + b)(a – b)
= [(4a + 3) + (3a – 2)][(4a + 3) + (3a – 2)]
= [(4a + 3 + 3a – 2)][(4a + 3 – 3a + 2)]
= (7a + 1)(a + 5)
∴ (a + 5)(7a + 1)