Mr Daniels Maths
Expanding Double and Triple Brackets

Set 1

Set 2

Set 3

Q1) Expand and simplify
\((x -1)(x -3)\)= [ \(x^2 -4x + 3\)]

Q1) Expand and simplify
\((5x + 2)(4x -2)\)= [ \(20 x^2 -2x -4 \)]

Q1) Expand and simplify
\((3x + 6)(5x + 2)(3x+3)\)= [ \(45 x^3 + 153x^2+ 144x+36 \)]

Q2) Expand and simplify
\((x -3)(x -4)\)= [ \(x^2 -7x + 12\)]

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

Q2) Expand and simplify
\((4x + 3)(10x + 2)(5x+2)\)= [ \(200 x^3 + 270x^2+ 106x+12 \)]

Q3) Expand and simplify
\((x -3)(x -3)\)= [ \(x^2 -6x + 9\)]

Q3) Expand and simplify
\((6x + 2)^2\)= [ \(36 x^2 + 24x + 4 \)]

Q3) Expand and simplify
\((5x + 6)(3x + 2)(5x+5)\)= [ \(75 x^3 + 215x^2+ 200x+60 \)]

Q4) Expand and simplify
\((x -3)^2\)= [ \(x^2 -6x + 9\)]

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

Q4) Expand and simplify
\((6x + 5)(5x + 2)(4x+3)\)= [ \(120 x^3 + 238x^2+ 151x+30 \)]

Q5) Expand and simplify
\((x -2)(x -1)\)= [ \(x^2 -3x + 2\)]

Q5) Expand and simplify
\((7x + 2)(3x -3)\)= [ \(21x^2 -15x -6 \)]

Q5) Expand and simplify
\((5x + 3)(3x + 2)(3x+2)\)= [ \(45 x^3 + 87x^2+ 56x+12 \)]

Q6) Expand and simplify
\((x -2)(x -4)\)= [ \(x^2 -6x + 8\)]

Q6) Expand and simplify
\((10x + 3)(6x + 2)\)= [ \(60 x^2 + 38x + 6 \)]

Q6) Expand and simplify
\((3x + 6)(5x + 2)(4x+2)\)= [ \(60 x^3 + 174x^2+ 120x+24 \)]

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

Q7) Expand and simplify
\((4x -2)^2\)= [ \(16 x^2 -16x + 4 \)]

Q7) Expand and simplify
\((5x + 2)(3x -3)(4x+3)\)= [ \(60 x^3 + 9x^2-51x-18 \)]

Q8) Expand and simplify
\((x -4)(x -2)\)= [ \(x^2 -6x + 8\)]

Q8) Expand and simplify
\((10x + 5)(7x -4)\)= [ \(70 x^2 -5x -20 \)]

Q8) Expand and simplify
\((9x + 3)(7x + 2)(5x+5)\)= [ \(315 x^3 + 510x^2+ 225x+30 \)]

Q9) Expand and simplify
\((x -3)(x -2)\)= [ \(x^2 -5x + 6\)]

Q9) Expand and simplify
\((9x + 5)(4x + 2)\)= [ \(36 x^2 + 38x + 10 \)]

Q9) Expand and simplify
\((7x + 4)(2x + 2)(4x+5)\)= [ \(56 x^3 + 158x^2+ 142x+40 \)]

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

Q10) Expand and simplify
\((6x + 3)(9x + 2)\)= [ \(54 x^2 + 39x + 6 \)]

Q10) Expand and simplify
\((5x + 6)(9x + 2)(5x+5)\)= [ \(225 x^3 + 545x^2+ 380x+60 \)]