Mr Daniels Maths
Expanding Double and Triple Brackets

Set 1

Set 2

Set 3

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

Q1) Expand and simplify
\((6x + 5)(3x -2)\)= [ \(18 x^2 + 3x -10 \)]

Q1) Expand and simplify
\((5x + 3)(2x -2)(2x+2)\)= [ \(20 x^3 + 12x^2-20x-12 \)]

Q2) Expand and simplify
\((x -4)(x -2)\)= [ \(x^2 -6x + 8\)]

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

Q2) Expand and simplify
\((9x + 3)(6x + 2)(3x+4)\)= [ \(162 x^3 + 324x^2+ 162x+24 \)]

Q3) Expand and simplify
\((x -4)(x -1)\)= [ \(x^2 -5x + 4\)]

Q3) Expand and simplify
\((5x -2)^2\)= [ \(25 x^2 -20x + 4 \)]

Q3) Expand and simplify
\((4x + 3)(2x -2)(4x+5)\)= [ \(32 x^3 + 32x^2-34x-30 \)]

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

Q4) Expand and simplify
\((7x + 2)^2\)= [ \(49 x^2 + 28x + 4 \)]

Q4) Expand and simplify
\((6x + 3)(7x -4)(3x+5)\)= [ \(126 x^3 + 201x^2-51x-60 \)]

Q5) Expand and simplify
\((x -4)(x -3)\)= [ \(x^2 -7x + 12\)]

Q5) Expand and simplify
\((2x + 4)(6x -2)\)= [ \(12 x^2 + 20x -8 \)]

Q5) Expand and simplify
\((5x + 3)(5x + 2)(3x+3)\)= [ \(75 x^3 + 150x^2+ 93x+18 \)]

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

Q6) Expand and simplify
\((4x + 2)(8x -2)\)= [ \(32 x^2 + 8x -4 \)]

Q6) Expand and simplify
\((8x + 5)(10x + 2)(4x+3)\)= [ \(320 x^3 + 504x^2+ 238x+30 \)]

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

Q7) Expand and simplify
\((6x + 3)(9x -3)\)= [ \(54 x^2 + 9x -9 \)]

Q7) Expand and simplify
\((5x + 5)(3x -2)(4x+5)\)= [ \(60 x^3 + 95x^2-15x-50 \)]

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

Q8) Expand and simplify
\((8x + 4)(5x -2)\)= [ \(40 x^2 + 4x -8 \)]

Q8) Expand and simplify
\((10x + 6)(6x -3)(4x+5)\)= [ \(240 x^3 + 324x^2-42x-90 \)]

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

Q9) Expand and simplify
\((7x -2)^2\)= [ \(49 x^2 -28x + 4 \)]

Q9) Expand and simplify
\((4x + 6)(10x + 2)(4x+3)\)= [ \(160 x^3 + 392x^2+ 252x+36 \)]

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

Q10) Expand and simplify
\((9x + 3)(6x + 2)\)= [ \(54 x^2 + 36x + 6 \)]

Q10) Expand and simplify
\((6x + 3)(2x + 2)(2x+4)\)= [ \(24 x^3 + 84x^2+ 84x+24 \)]