Removing Brackets

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Explains how to use the distributive law to remove brackets from algebraic expressions

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REMOVING BRACKETS : REMOVING BRACKETS By Noel Platt

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets: 3(x+ y) SOLUTION 3(x+ y) = 3x + 3y

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets 6(3x+4) SOLUTION 6(3x+4) =18x+24

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets - 4(2x + 5) SOLUTION - 4(2x + 5) = -8x -20

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets -7(3x-4) SOLUTION -7(3x-4) = -21x + 28

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets 4(-3x-3) SOLUTION 4(-3x-3) = -12x - 12

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets 7x+8y+3(2x+4y) SOLUTION 7x+8y+3(2x+4y) = 7x+8y +6x+12y = 13x + 20y

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets 12x-3y-2(4x+y) SOLUTION 12x-3y-2(4x+y) = 12x -3y -8x – 2y = 4x – 5y

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets 12x+3y-(4x-2y) SOLUTION 12x+3y-(4x-2y) =12x+3y -4x+2y = 8x+ 5y

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets 2(3x+2y)+3(3x+3y) SOLUTION 2(3x+2y)+3(3x+3y) =6x+4y+9x+9y = 15x + 13y

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets 4(2x + 4y) + 5(6x -7y) SOLUTION 4(2x + 4y) + 5(6x -7y) = 8x+16y +30x-35y =38x-19y

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets 5(3x-2y)-4(3x+4y) SOLUTION 5(3x-2y)-4(3x+4y) = 15x-10y-12x-16y = 3x-26y

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets 7(3x-5y)-4(4x-5y) SOLUTION 7(3x-5y)-4(4x-5y) = 21x-35y-16x+20y =5x-15y

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets 5x(2x + 3) - 2x(2x -1) SOLUTION 5x(2x + 3) - 2x(2x -1) =10x2+15x-4x2+2x =6x2 + 17x

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets 3x(3x-2)-4x(3x+4) SOLUTION 3x(3x-2)-4x(3x+4) = 9x2 -6x -12x2-16x =-3x2 -22x

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets (3x+4)(2x-3) SOLUTION (3x+4)(2x-3) =3x(2x-3) +4(2x-3) =6x2-9x+8x-12 =6x2-x-12

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets (3x + 2)(5x - 3) SOLUTION (3x + 2)(5x - 3) = 3x(5x-3) +2(5x-3) =15x2-9x+10x-6 =15x2+x-6

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets (4x-3)(2x+l) SOLUTION (4x-3)(2x+l) =4x(2x+1) -3(2x+1) =8x2+4x-6x-3 =8x2-2x-3

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets (3x-7)(2x - 8) SOLUTION (3x-7)(2x - 8) =3x(2x-8) -7(2x-8) =6x2-24x -14x +56 =6x2-38x+56

REMOVING BRACKETS : REMOVING BRACKETS Write without brackets (6x-2)2 SOLUTION (6x-2)2 =(6x-2)(6x-2) =6x(6x-2) -2(6x-2) =36x2-12x-12x+4 =36x2-24x+4

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