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The area of a rectangle is $25 a^{2} - 35 a + 12$ . Which could be its length and breadth?

Class 9Algebraic IdentitiesPolynomials

A $(5 a + 3) and (5 a + 4)$
B $(5 a - 3) and (5 a - 4)$
C $(25 a - 3) and (a - 4)$
D $(5 a - 6) and (5 a - 2)$

Step-by-Step Solution

Split

- 35 a

as

- 15 a - 20 a : 25 a^{2} - 15 a - 20 a + 12 = 5 a (5 a - 3) - 4 (5 a - 3) = (5 a - 3) (5 a - 4)

.

Answer: B)

(5 a - 3) and (5 a - 4)

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