mudassir khan assignment
TOPIC 10 Algebraic Expressions & Manipulation 1. Factorise completely (a) 4x² − 25y² Answer (a): (2x − 5y)(2x + 5y) (b) 5ax − 5a² − 2x + 2a Answer (b): (5a − 2)(x − a) 2. (a) Factorise completely (i) 3x² − 12x Answer (a)(i): 3x(x − 4) (ii) x² − xy − 2y² Answer (a)(ii): (x − 2y)(x + y) 2. (b) Simplify x 2 + 4 x x 2 − 16 x 2 − 16 x 2 + 4 x Answer (b): x ( x + 4 ) ( x − 4 ) ( x + 4 ) = x x − 4 ( x − 4 ) ( x + 4 ) x ( x + 4 ) = x − 4 x ---------------------------------------------------------------------------------------------------------- (a) Remove the brackets and simplify 4(7x − 3) − 3(5x − 4) = 28x − 12 − 15x + 12 = 13x Answer (a) ------------------------------------------------------------------------------------------------------- (b) Express as a single fraction in its simplest form 4 3 y − 5 4 y 3 y 4 − 4 y 5 Answer (b) ..................................... 1 12 y 12 y 1 (c) Simplify ( 4 a 2 b ) ( 3 a b 3 ) A...