Mr Daniels Maths
Expanding Triple Brackets

Set 1

Set 2

Set 3

Q1) Expand and simplify
\((x + 1)(x + 2)(x + 4)\)= [ \(x^3 + 7x^2 + 14x+8\)]

Q1) Expand and simplify
\((x + 8)(x + 10)(x + 4)\)= [ \(x^3 + 22x^2 + 152x+320\)]

Q1) Expand and simplify
\((3x + 2)(5x -3)(4x+5)\)= [ \(60 x^3 + 79x^2-19x-30 \)]

Q2) Expand and simplify
\((x + 2)(x + 2)(x + 5)\)= [ \(x^3 + 9x^2 + 24x+20\)]

Q2) Expand and simplify
\((x + 2)(x + 6)(x -2)\)= [ \(x^3 + 6x^2 -4x-24\)]

Q2) Expand and simplify
\((6x + 6)(3x + 2)(3x+2)\)= [ \(54 x^3 + 126x^2+ 96x+24 \)]

Q3) Expand and simplify
\((x + 4)(x + 3)(x + 4)\)= [ \(x^3 + 11x^2 + 40x+48\)]

Q3) Expand and simplify
\((x + 4)(x + 5)(x -5)\)= [ \(x^3 + 4x^2 -25x-100\)]

Q3) Expand and simplify
\((3x + 6)(8x + 2)(5x+5)\)= [ \(120 x^3 + 390x^2+ 330x+60 \)]

Q4) Expand and simplify
\((x + 4)(x + 3)(x + 3)\)= [ \(x^3 + 10x^2 + 33x+36\)]

Q4) Expand and simplify
\((x + 6)(x + 10)(x -5)\)= [ \(x^3 + 11x^2 -20x-300\)]

Q4) Expand and simplify
\((7x + 3)(10x -5)(3x+4)\)= [ \(210 x^3 + 265x^2-65x-60 \)]

Q5) Expand and simplify
\((x + 4)(x + 4)(x + 3)\)= [ \(x^3 + 11x^2 + 40x+48\)]

Q5) Expand and simplify
\((x + 10)(x + 1)(x + 5)\)= [ \(x^3 + 16x^2 + 65x+50\)]

Q5) Expand and simplify
\((8x + 6)(6x + 2)(2x+4)\)= [ \(96 x^3 + 296x^2+ 232x+48 \)]

Q6) Expand and simplify
\((x + 3)(x + 2)(x + 2)\)= [ \(x^3 + 7x^2 + 16x+12\)]

Q6) Expand and simplify
\((x + 7)(x + 3)(x + 2)\)= [ \(x^3 + 12x^2 + 41x+42\)]

Q6) Expand and simplify
\((3x + 6)(9x + 2)(2x+4)\)= [ \(54 x^3 + 228x^2+ 264x+48 \)]

Q7) Expand and simplify
\((x + 5)(x + 3)(x + 2)\)= [ \(x^3 + 10x^2 + 31x+30\)]

Q7) Expand and simplify
\((x + 6)(x + 7)(x -2)\)= [ \(x^3 + 11x^2 + 16x-84\)]

Q7) Expand and simplify
\((4x + 3)(8x + 2)(5x+2)\)= [ \(160 x^3 + 224x^2+ 94x+12 \)]

Q8) Expand and simplify
\((x + 3)(x + 2)(x + 4)\)= [ \(x^3 + 9x^2 + 26x+24\)]

Q8) Expand and simplify
\((x + 1)(x + 10)(x + 4)\)= [ \(x^3 + 15x^2 + 54x+40\)]

Q8) Expand and simplify
\((5x + 3)(7x + 2)(5x+4)\)= [ \(175 x^3 + 295x^2+ 154x+24 \)]

Q9) Expand and simplify
\((x + 3)(x + 3)(x + 3)\)= [ \(x^3 + 9x^2 + 27x+27\)]

Q9) Expand and simplify
\((x + 5)(x + 5)(x + 4)\)= [ \(x^3 + 14x^2 + 65x+100\)]

Q9) Expand and simplify
\((5x + 4)(4x -2)(5x+5)\)= [ \(100 x^3 + 130x^2-10x-40 \)]

Q10) Expand and simplify
\((x + 2)(x + 3)(x + 3)\)= [ \(x^3 + 8x^2 + 21x+18\)]

Q10) Expand and simplify
\((x + 4)(x + 4)(x -2)\)= [ \(x^3 + 6x^2 -32\)]

Q10) Expand and simplify
\((9x + 1)(4x -2)(3x+2)\)= [ \(108 x^3 + 30x^2-34x-4 \)]