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MATHEMATICS

JAMB 2020 - Question 2

Mathematics 2020 JAMB Past Questions - Question 2: Factorise (4a + 3)^2 - (3a - 2)^2

Use the diagram to answer question that follows

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)

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Correct Answer

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)