Expanding Brackets

Question 1

2(a + 3b) =

Answer 1

= 2a + 6b

2 multiples both numbers in brackets

2 x a = 2a

2 x 3b = 6b

Question 2

2(a + 3b) + 3(a - 4b) =

Answer 2

2a + 6b + 3a - 12b

= 5a - 6b

Question 3

X (x + 5) -3(x - 5)

Answer 3

X^ + 5x - 3x - 15

= x^ + 2x - 15

Question 4

( x - 1 )( x - 3 )

Answer 4

x ( x - 3 ) -1 ( x - 3 )

= x^ - 3x - 1x + 3

= x^ - 4x + 3

Question 5

( 3x - 2 ) (5x - 1 ) ( x + 5 )

Answer 5

3x ( 5x - 1 ) -2 (5x - 1)

= 15x^ - 3x - 10x + 2
= 15x^ - 13x + 2

( 15x^ - 13x + 2 ) ( x + 5 )
= X ( 15x^ - 13x + 2 ) + 5( 15x^ - 13x + 2 )
= 15x*3 - 13x^ + 2x + 75x^ - 65x +10

= 15x*3 + 62x^ - 63x + 10