T Madas Expand the following brackets 3x 2
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Expand the following brackets -3(x + 2) = -3 x – 6 -4(k + 3) = -4 k – 12 -2(c – 4) = -2 c + 8 -3(h – 7) = -3 h + 21 -4(2 y + 1) = -8 y – 4 -5(2 f + 1) = -10 f – 5 -2(5 – a) = -10 + 2 a -2(3 – 2 d) = -6 + 4 d -3(p + 2 q) = -3 p – 6 q -4(u + 7 v) = -4 u – 28 v -5(4 t – 3) = -20 t + 15 -6(3 r – 2) = -18 r + 12 -7(2 b + 5) = -14 b – 35 -8(2 x + 3) = -16 x – 24 -2(4 – 3 n) = -8 + 6 n -9(1 – 3 m) = -9 + 27 m © T Madas
Expand the following brackets -3 x (x + 3) = -3 x 2 – 9 x -2 d (d + 3) = -2 d 2 – 6 d -2 a (c – 5) = -2 ac + 10 a -3 u (v – 7) = -3 uv + 21 u -3 x (2 y + 3) = -6 xy – 9 x -4 p (2 q + 1) = -8 pq – 4 p -2 a (4 – a) = -8 a + 2 a 2 -3 n (8 – n) = -24 n + 3 n 2 -4 p (p + 2 q) = -4 p 2 – 8 pq -7 y (y + 4 z) = -7 y 2 – 28 yz -5 r (3 t – 1) = -15 rt + 5 r -4 n (2 m – 1) = -8 nm + 4 n -4 a (2 b + 5) = -8 ab – 20 a -2 x (2 y + 9) = -4 yx – 18 x -2 n (5 – 6 n) = -10 n + 12 n 2 -2 w (3 – 2 w) = -6 w + 4 w 2 © 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
Quick Test © T Madas
Expand the following brackets -3(x + 2) = -3 x – 6 -4(k + 3) = -4 k – 12 -2(c – 4) = -2 c + 8 -3(h – 7) = -3 h + 21 -4(2 y + 1) = -8 y – 4 -5(2 f + 1) = -10 f – 5 -2(5 – a) = -10 + 2 a -2(3 – 2 d) = -6 + 4 d -3(p + 2 q) = -3 p – 6 q -4(u + 7 v) = -4 u – 28 v -5(4 t – 3) = -20 t + 15 -6(3 r – 2) = -18 r + 12 -7(2 b + 5) = -14 b – 35 -8(2 x + 3) = -16 x – 24 -2(4 – 3 n) = -8 + 6 n -9(1 – 3 m) = -9 + 27 m © T Madas
Expand the following brackets -3 x (x + 3) = -3 x 2 – 9 x -2 d (d + 3) = -2 d 2 – 6 d -2 a (c – 5) = -2 ac + 10 a -3 u (v – 7) = -3 uv + 21 u -3 x (2 y + 3) = -6 xy – 9 x -4 p (2 q + 1) = -8 pq – 4 p -2 a (4 – a) = -8 a + 2 a 2 -3 n (8 – n) = -24 n + 3 n 2 -4 p (p + 2 q) = -4 p 2 – 8 pq -7 y (y + 4 z) = -7 y 2 – 28 yz -5 r (3 t – 1) = -15 rt + 5 r -4 n (2 m – 1) = -8 nm + 4 n -4 a (2 b + 5) = -8 ab – 20 a -2 x (2 y + 9) = -4 yx – 18 x -2 n (5 – 6 n) = -10 n + 12 n 2 -2 w (3 – 2 w) = -6 w + 4 w 2 © 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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