Factorise (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) = a(^2) – b(^2) = (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)
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