Mr Daniels Maths
Expanding Triple Brackets

Set 1

Set 2

Set 3

Q1) Expand and simplify
\((x + 1)(x + 2)(x + 2)\)= [ \(x^3 + 5x^2 + 8x+4\)]

Q1) Expand and simplify
\((x + 6)(x + 6)(x + 3)\)= [ \(x^3 + 15x^2 + 72x+108\)]

Q1) Expand and simplify
\((10x + 3)(7x + 2)(2x+3)\)= [ \(140 x^3 + 292x^2+ 135x+18 \)]

Q2) Expand and simplify
\((x + 4)(x + 2)(x + 2)\)= [ \(x^3 + 8x^2 + 20x+16\)]

Q2) Expand and simplify
\((x + 1)(x + 8)(x -2)\)= [ \(x^3 + 7x^2 -10x-16\)]

Q2) Expand and simplify
\((10x + 3)(2x -4)(2x+3)\)= [ \(40 x^3 -8x^2-126x-36 \)]

Q3) Expand and simplify
\((x + 5)(x + 3)(x + 5)\)= [ \(x^3 + 13x^2 + 55x+75\)]

Q3) Expand and simplify
\((x + 8)(x + 8)(x + 5)\)= [ \(x^3 + 21x^2 + 144x+320\)]

Q3) Expand and simplify
\((8x + 4)(8x + 2)(5x+2)\)= [ \(320 x^3 + 368x^2+ 136x+16 \)]

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

Q4) Expand and simplify
\((x + 2)(x + 5)(x -4)\)= [ \(x^3 + 3x^2 -18x-40\)]

Q4) Expand and simplify
\((8x + 2)(6x -3)(4x+4)\)= [ \(192 x^3 + 144x^2-72x-24 \)]

Q5) Expand and simplify
\((x + 3)(x + 3)(x + 5)\)= [ \(x^3 + 11x^2 + 39x+45\)]

Q5) Expand and simplify
\((x + 5)(x + 7)(x -4)\)= [ \(x^3 + 8x^2 -13x-140\)]

Q5) Expand and simplify
\((9x + 5)(5x -2)(5x+4)\)= [ \(225 x^3 + 215x^2-22x-40 \)]

Q6) Expand and simplify
\((x + 1)(x + 3)(x + 4)\)= [ \(x^3 + 8x^2 + 19x+12\)]

Q6) Expand and simplify
\((x + 6)(x + 3)(x + 2)\)= [ \(x^3 + 11x^2 + 36x+36\)]

Q6) Expand and simplify
\((9x + 4)(10x -3)(4x+2)\)= [ \(360 x^3 + 232x^2-22x-24 \)]

Q7) Expand and simplify
\((x + 1)(x + 4)(x + 5)\)= [ \(x^3 + 10x^2 + 29x+20\)]

Q7) Expand and simplify
\((x + 4)(x + 5)(x + 2)\)= [ \(x^3 + 11x^2 + 38x+40\)]

Q7) Expand and simplify
\((10x + 6)(7x + 4)(3x+3)\)= [ \(210 x^3 + 456x^2+ 318x+72 \)]

Q8) Expand and simplify
\((x + 3)(x + 4)(x + 5)\)= [ \(x^3 + 12x^2 + 47x+60\)]

Q8) Expand and simplify
\((x + 4)(x + 8)(x -5)\)= [ \(x^3 + 7x^2 -28x-160\)]

Q8) Expand and simplify
\((9x + 5)(5x + 4)(4x+3)\)= [ \(180 x^3 + 379x^2+ 263x+60 \)]

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

Q9) Expand and simplify
\((x + 9)(x + 9)(x -2)\)= [ \(x^3 + 16x^2 + 45x-162\)]

Q9) Expand and simplify
\((2x + 5)(3x -2)(5x+4)\)= [ \(30 x^3 + 79x^2-6x-40 \)]

Q10) Expand and simplify
\((x + 4)(x + 4)(x + 5)\)= [ \(x^3 + 13x^2 + 56x+80\)]

Q10) Expand and simplify
\((x + 7)(x + 4)(x -3)\)= [ \(x^3 + 8x^2 -5x-84\)]

Q10) Expand and simplify
\((3x + 6)(3x + 2)(4x+4)\)= [ \(36 x^3 + 132x^2+ 144x+48 \)]