Simplifications involving bracket expansions T Madas Simplifications involving
Simplifications involving bracket expansions © T Madas
Simplifications involving bracket expansions 2 (x + 4 ) + 3 (x – 2 ) = 2 x + 8 + 3 x – 6 = 5 x + 2 2 ( x + y ) + 3 (2 x – y ) = 2 x + 2 y + 6 x – 3 y = 8 x – y 3 (a + 2 ) + 5 (a – 3 ) = 3 a + 6 + 5 a – 15 = 8 a – 9 5 ( p + 3 ) + 2 (2 – p ) = 5 p + 15 + 4 – 2 p = 3 p + 19 4 ( t + 2 ) + 3 ( 2 t + 3 ) = 3 (4 + n ) + 4 (2 n – 5 ) = 12 + 3 n + 8 n – 20 = 4 t + 8 + 6 t + 9 = 11 n – 8 10 t + 17 © T Madas
Simplifications involving bracket expansions 3 (x + 3 ) + 2 (x – 4 ) = 3 x + 9 + 2 x – 8 = 5 x + 1 3 ( p + q ) + 4 (2 p – q ) = 3 p + 3 q + 8 p – 4 q = 11 p – q 2 (a + 1 ) + 5 (a – 2 ) = 2 a + 2 + 5 a – 10 = 7 a – 8 5 ( n + 2 ) + 2 (2 – 2 n ) = 5 n + 10 + 4 – 4 n = n + 14 5 ( t + 3 ) + 2 ( 3 t + 4 ) = 5 t + 15 + 6 t + 8 = 11 t + 23 6 (2 – y ) + 2 (2 y – 5 ) = 12 – 6 y + 4 y – 10 = -2 y + 2 = 2 – 2 y © T Madas
Simplifications involving bracket expansions 3 (x + 3 ) – 2 (x + 4 ) = 3 x + 9 – 2 x – 8 = x +1 3 ( p – q ) – 4 (2 p – q ) = 3 p – 3 q – 8 p + 4 q = -5 p + q 2 (a + 3 ) – 5 (a + 2 ) = 2 a + 6 – 5 a – 10 = -3 a – 4 5 ( n – 2 ) – 2 (2 – 2 n ) = 5 n – 10 – 4 + 4 n = 9 n – 14 6 ( t + 3 ) – 2 ( 3 t + 4 ) = 4 (3 – y ) – 3 (2 y – 5 ) = 12 – 4 y – 6 y + 15 = 6 t + 18 – 6 t – 8 = -10 y + 27 10 = 27 – 10 y © T Madas
algebra involving bracket expansions 2 ( x + 1 ) + ( 2 x – 3 ) – ( 3 x – 5 ) = 2 x + 2 x – 3 x + 5 = x+4 2 (2 n + 3 ) + ( 4 – n ) – ( 3 n – 2 ) = 4 n + 6 + 4 – n – 3 n + 2 = 12 - ( 2 t + 1 ) – (-2 t – 3 ) + ( 3 t – 5 ) = -2 t – 1 + 2 t + 3 t – 5 = 3 t – 3 © T Madas
algebra involving bracket expansions 3 ( x + 1 ) + ( 4 x – 1 ) – ( 2 x – 3 ) = 3 x + 3 + 4 x – 1 – 2 x + 3 = 5 x + 5 2 (2 n + 1 ) + ( 5 – 2 n ) – ( 2 n – 3 ) = 4 n + 2 + 5 – 2 n + 3 = 10 - ( 3 t + 2 ) – (-3 t – 4 ) + ( 4 t – 7 ) = -3 t – 2 + 3 t + 4 t – 7 = 4 t – 5 © T Madas
Simplifications involving bracket expansions QUICK TEST © T Madas
Simplifications involving bracket expansions 2 (x + 4 ) + 3 (x – 2 ) = 2 x + 8 + 3 x – 6 = 5 x + 2 2 ( x + y ) + 3 (2 x – y ) = 2 x + 2 y + 6 x – 3 y = 8 x – y 3 (a + 2 ) + 5 (a – 3 ) = 3 a + 6 + 5 a – 15 = 8 a – 9 5 ( p + 3 ) + 2 (2 – p ) = 5 p + 15 + 4 – 2 p = 3 p + 19 4 ( t + 2 ) + 3 ( 2 t + 3 ) = 3 (4 + n ) + 4 (2 n – 5 ) = 12 + 3 n + 8 n – 20 = 4 t + 8 + 6 t + 9 = 11 n – 8 10 t + 17 © T Madas
Simplifications involving bracket expansions 3 (x + 3 ) + 2 (x – 4 ) = 3 x + 9 + 2 x – 8 = 5 x + 1 3 ( p + q ) + 4 (2 p – q ) = 3 p + 3 q + 8 p – 4 q = 11 p – q 2 (a + 1 ) + 5 (a – 2 ) = 2 a + 2 + 5 a – 10 = 7 a – 8 5 ( n + 2 ) + 2 (2 – 2 n ) = 5 n + 10 + 4 – 4 n = n + 14 5 ( t + 3 ) + 2 ( 3 t + 4 ) = 5 t + 15 + 6 t + 8 = 11 t + 23 6 (2 – y ) + 2 (2 y – 5 ) = 12 – 6 y + 4 y – 10 = -2 y + 2 = 2 – 2 y © T Madas
Simplifications involving bracket expansions 3 (x + 3 ) – 2 (x + 4 ) = 3 x + 9 – 2 x – 8 = x +1 3 ( p – q ) – 4 (2 p – q ) = 3 p – 3 q – 8 p + 4 q = -5 p + q 2 (a + 3 ) – 5 (a + 2 ) = 2 a + 6 – 5 a – 10 = -3 a – 4 5 ( n – 2 ) – 2 (2 – 2 n ) = 5 n – 10 – 4 + 4 n = 9 n – 14 6 ( t + 3 ) – 2 ( 3 t + 4 ) = 4 (3 – y ) – 3 (2 y – 5 ) = 12 – 4 y – 6 y + 15 = 6 t + 18 – 6 t – 8 = -10 y + 27 10 = 27 – 10 y © T Madas
algebra involving bracket expansions 2 ( x + 1 ) + ( 2 x – 3 ) – ( 3 x – 5 ) = 2 x + 2 x – 3 x + 5 = x+4 2 (2 n + 3 ) + ( 4 – n ) – ( 3 n – 2 ) = 4 n + 6 + 4 – n – 3 n + 2 = 12 - ( 2 t + 1 ) – (-2 t – 3 ) + ( 3 t – 5 ) = -2 t – 1 + 2 t + 3 t – 5 = 3 t – 3 © T Madas
algebra involving bracket expansions 3 ( x + 1 ) + ( 4 x – 1 ) – ( 2 x – 3 ) = 3 x + 3 + 4 x – 1 – 2 x + 3 = 5 x + 5 2 (2 n + 1 ) + ( 5 – 2 n ) – ( 2 n – 3 ) = 4 n + 2 + 5 – 2 n + 3 = 10 - ( 3 t + 2 ) – (-3 t – 4 ) + ( 4 t – 7 ) = -3 t – 2 + 3 t + 4 t – 7 = 4 t – 5 © T Madas
© T Madas
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