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} = 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)