Mr Daniels Maths
Expanding Triple Brackets

Set 1

Set 2

Set 3

Q1) Expand and simplify
\((x + 2)(x + 1)(x + 3)\)= [ \(x^3 + 6x^2 + 11x+6\)]

Q1) Expand and simplify
\((x + 9)(x + 5)(x + 3)\)= [ \(x^3 + 17x^2 + 87x+135\)]

Q1) Expand and simplify
\((7x + 6)(6x + 3)(5x+4)\)= [ \(210 x^3 + 453x^2+ 318x+72 \)]

Q2) Expand and simplify
\((x + 2)(x + 3)(x + 5)\)= [ \(x^3 + 10x^2 + 31x+30\)]

Q2) Expand and simplify
\((x + 6)(x + 9)(x -5)\)= [ \(x^3 + 10x^2 -21x-270\)]

Q2) Expand and simplify
\((10x + 2)(3x -2)(4x+3)\)= [ \(120 x^3 + 34x^2-58x-12 \)]

Q3) Expand and simplify
\((x + 1)(x + 1)(x + 3)\)= [ \(x^3 + 5x^2 + 7x+3\)]

Q3) Expand and simplify
\((x + 3)(x + 9)(x + 3)\)= [ \(x^3 + 15x^2 + 63x+81\)]

Q3) Expand and simplify
\((5x + 4)(7x + 2)(2x+3)\)= [ \(70 x^3 + 181x^2+ 130x+24 \)]

Q4) Expand and simplify
\((x + 2)(x + 3)(x + 2)\)= [ \(x^3 + 7x^2 + 16x+12\)]

Q4) Expand and simplify
\((x + 3)(x + 9)(x -2)\)= [ \(x^3 + 10x^2 + 3x-54\)]

Q4) Expand and simplify
\((9x + 6)(4x -2)(4x+3)\)= [ \(144 x^3 + 132x^2-30x-36 \)]

Q5) Expand and simplify
\((x + 2)(x + 2)(x + 2)\)= [ \(x^3 + 6x^2 + 12x+8\)]

Q5) Expand and simplify
\((x + 10)(x + 9)(x + 5)\)= [ \(x^3 + 24x^2 + 185x+450\)]

Q5) Expand and simplify
\((3x + 2)(9x -3)(3x+3)\)= [ \(81x^3 + 108x^2+ 9x-18 \)]

Q6) Expand and simplify
\((x + 2)(x + 1)(x + 5)\)= [ \(x^3 + 8x^2 + 17x+10\)]

Q6) Expand and simplify
\((x + 2)(x + 1)(x + 2)\)= [ \(x^3 + 5x^2 + 8x+4\)]

Q6) Expand and simplify
\((8x + 5)(7x + 3)(3x+5)\)= [ \(168 x^3 + 457x^2+ 340x+75 \)]

Q7) Expand and simplify
\((x + 5)(x + 2)(x + 5)\)= [ \(x^3 + 12x^2 + 45x+50\)]

Q7) Expand and simplify
\((x + 6)(x + 7)(x + 4)\)= [ \(x^3 + 17x^2 + 94x+168\)]

Q7) Expand and simplify
\((7x + 6)(7x -4)(3x+3)\)= [ \(147 x^3 + 189x^2-30x-72 \)]

Q8) Expand and simplify
\((x + 3)(x + 5)(x + 3)\)= [ \(x^3 + 11x^2 + 39x+45\)]

Q8) Expand and simplify
\((x + 4)(x + 8)(x -3)\)= [ \(x^3 + 9x^2 -4x-96\)]

Q8) Expand and simplify
\((10x + 3)(5x + 2)(3x+2)\)= [ \(150 x^3 + 205x^2+ 88x+12 \)]

Q9) Expand and simplify
\((x + 5)(x + 5)(x + 5)\)= [ \(x^3 + 15x^2 + 75x+125\)]

Q9) Expand and simplify
\((x + 1)(x + 7)(x -4)\)= [ \(x^3 + 4x^2 -25x-28\)]

Q9) Expand and simplify
\((8x + 2)(10x -3)(3x+4)\)= [ \(240 x^3 + 308x^2-34x-24 \)]

Q10) Expand and simplify
\((x + 5)(x + 3)(x + 2)\)= [ \(x^3 + 10x^2 + 31x+30\)]

Q10) Expand and simplify
\((x + 8)(x + 7)(x -3)\)= [ \(x^3 + 12x^2 + 11x-168\)]

Q10) Expand and simplify
\((8x + 4)(3x -2)(2x+5)\)= [ \(48 x^3 + 112x^2-36x-40 \)]