Mr Daniels Maths
Expanding Double and Triple Brackets

Set 1

Set 2

Set 3

Q1) Expand and simplify
\((x -4)^2\)= [ \(x^2 -8x + 16\)]

Q1) Expand and simplify
\((2x + 2)^2\)= [ \(4 x^2 + 8x + 4 \)]

Q1) Expand and simplify
\((3x + 3)(4x + 2)(5x+2)\)= [ \(60 x^3 + 114x^2+ 66x+12 \)]

Q2) Expand and simplify
\((x -1)(x -3)\)= [ \(x^2 -4x + 3\)]

Q2) Expand and simplify
\((4x + 4)(10x + 2)\)= [ \(40 x^2 + 48x + 8 \)]

Q2) Expand and simplify
\((5x + 5)(8x -2)(5x+4)\)= [ \(200 x^3 + 310x^2+ 70x-40 \)]

Q3) Expand and simplify
\((x -2)^2\)= [ \(x^2 -4x + 4\)]

Q3) Expand and simplify
\((9x + 2)^2\)= [ \(81x^2 + 36x + 4 \)]

Q3) Expand and simplify
\((7x + 1)(6x -3)(5x+3)\)= [ \(210 x^3 + 51x^2-60x-9 \)]

Q4) Expand and simplify
\((x -1)(x -4)\)= [ \(x^2 -5x + 4\)]

Q4) Expand and simplify
\((6x + 2)^2\)= [ \(36 x^2 + 24x + 4 \)]

Q4) Expand and simplify
\((10x + 5)(3x + 3)(2x+5)\)= [ \(60 x^3 + 240x^2+ 255x+75 \)]

Q5) Expand and simplify
\((x -3)^2\)= [ \(x^2 -6x + 9\)]

Q5) Expand and simplify
\((9x + 5)(9x + 2)\)= [ \(81x^2 + 63x + 10 \)]

Q5) Expand and simplify
\((10x + 5)(5x + 4)(2x+5)\)= [ \(100 x^3 + 380x^2+ 365x+100 \)]

Q6) Expand and simplify
\((x -2)(x -2)\)= [ \(x^2 -4x + 4\)]

Q6) Expand and simplify
\((6x + 5)(5x + 2)\)= [ \(30 x^2 + 37x + 10 \)]

Q6) Expand and simplify
\((10x + 5)(4x -3)(3x+4)\)= [ \(120 x^3 + 130x^2-85x-60 \)]

Q7) Expand and simplify
\((x -2)(x -4)\)= [ \(x^2 -6x + 8\)]

Q7) Expand and simplify
\((5x + 1)(5x -2)\)= [ \(25 x^2 -5x -2 \)]

Q7) Expand and simplify
\((8x + 3)(6x -2)(5x+3)\)= [ \(240 x^3 + 154x^2-24x-18 \)]

Q8) Expand and simplify
\((x -3)(x -1)\)= [ \(x^2 -4x + 3\)]

Q8) Expand and simplify
\((10x + 3)(9x + 2)\)= [ \(90 x^2 + 47x + 6 \)]

Q8) Expand and simplify
\((6x + 4)(8x -5)(5x+4)\)= [ \(240 x^3 + 202x^2-92x-80 \)]

Q9) Expand and simplify
\((x -1)(x -1)\)= [ \(x^2 -2x + 1\)]

Q9) Expand and simplify
\((3x + 2)^2\)= [ \(9 x^2 + 12x + 4 \)]

Q9) Expand and simplify
\((3x + 5)(5x + 2)(4x+4)\)= [ \(60 x^3 + 184x^2+ 164x+40 \)]

Q10) Expand and simplify
\((x -3)(x -4)\)= [ \(x^2 -7x + 12\)]

Q10) Expand and simplify
\((10x + 2)^2\)= [ \(100 x^2 + 40x + 4 \)]

Q10) Expand and simplify
\((4x + 6)(10x -3)(2x+5)\)= [ \(80 x^3 + 296x^2+ 204x-90 \)]