Supplementary Exercise Q2

Transcript

Supplementary Exercise Q2 If = 2 3 + 4 , = + 2 6 and = 3 + 2 , then (i) find Given, = 2 3 + 4 , = + 2 , = 3 + 2 = 2 3 4 1 2 1 3 1 2 = 2 2 2 ( 1 1) ( 3) 1 2 (3 1) + 4 1 1 (3 2) = 2 4 1 +3 2+3 +4 1 6 = 2(3) + 3 (5) + 4( 7) = 6 + 15 28 = 7 Supplementary Exercise Q2 (Method 1) If = 2 3 + 4 , = + 2 6 and = 3 + 2 , then (ii) find + + + Given, = 2 3 + 4 , = + 2 , = 3 + 2 We need to find + + + + = (2 3 + 4 ) + ( + 2 ) = 3 + 3 + = ( + 2 ) + (3 + 2 ) = 4 + + + = (3 + 2 ) + (2 3 + 4 ) = 5 4 + 6 + + + = 3 1 3 4 1 1 5 4 6 = 3 1 6 ( 4 1) ( 1) 4 6 (5 1) + 3 4 4 (5 1) = 3 6+4 +1 24 5 +3 16 5 = 3(10) + 1 (19) + 3( 21) = 30 + 19 63 = 14 + + + = 14 Supplementary Exercise Q2 (Method 2) If = 2 3 + 4 , = + 2 6 and = 3 + 2 , then (ii) find + + + We need to find + + + We know that + + + = 2 = 2( 7) = 14