Mr Daniels Maths
Expanding Double and Triple Brackets

Set 1

Set 2

Set 3

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

Q1) Expand and simplify
\((8x + 5)(8x + 4)\)= [ \(64 x^2 + 72x + 20 \)]

Q1) Expand and simplify
\((4x + 2)(7x -4)(3x+3)\)= [ \(84 x^3 + 78x^2-30x-24 \)]

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

Q2) Expand and simplify
\((9x + 5)(7x -2)\)= [ \(63 x^2 + 17x -10 \)]

Q2) Expand and simplify
\((9x + 5)(10x -5)(5x+3)\)= [ \(450 x^3 + 295x^2-110x-75 \)]

Q3) Expand and simplify
\((x -1)(x -3)\)= [ \(x^2 -4x + 3\)]

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

Q3) Expand and simplify
\((3x + 6)(3x + 2)(4x+5)\)= [ \(36 x^3 + 141x^2+ 168x+60 \)]

Q4) Expand and simplify
\((x -4)(x -2)\)= [ \(x^2 -6x + 8\)]

Q4) Expand and simplify
\((7x + 4)(7x + 2)\)= [ \(49 x^2 + 42x + 8 \)]

Q4) Expand and simplify
\((7x + 2)(10x -3)(3x+3)\)= [ \(210 x^3 + 207x^2-21x-18 \)]

Q5) Expand and simplify
\((x -3)(x -3)\)= [ \(x^2 -6x + 9\)]

Q5) Expand and simplify
\((6x -2)^2\)= [ \(36 x^2 -24x + 4 \)]

Q5) Expand and simplify
\((4x + 3)(7x + 2)(3x+3)\)= [ \(84 x^3 + 171x^2+ 105x+18 \)]

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

Q6) Expand and simplify
\((5x + 3)(10x -3)\)= [ \(50 x^2 + 15x -9 \)]

Q6) Expand and simplify
\((8x + 5)(8x + 3)(5x+3)\)= [ \(320 x^3 + 512x^2+ 267x+45 \)]

Q7) Expand and simplify
\((x -1)(x -1)\)= [ \(x^2 -2x + 1\)]

Q7) Expand and simplify
\((6x + 5)(2x + 2)\)= [ \(12 x^2 + 22x + 10 \)]

Q7) Expand and simplify
\((2x + 6)(5x + 2)(5x+5)\)= [ \(50 x^3 + 220x^2+ 230x+60 \)]

Q8) Expand and simplify
\((x -3)(x -1)\)= [ \(x^2 -4x + 3\)]

Q8) Expand and simplify
\((6x + 2)(5x -2)\)= [ \(30 x^2 -2x -4 \)]

Q8) Expand and simplify
\((5x + 4)(10x -5)(4x+3)\)= [ \(200 x^3 + 210x^2-35x-60 \)]

Q9) Expand and simplify
\((x -4)(x -4)\)= [ \(x^2 -8x + 16\)]

Q9) Expand and simplify
\((8x + 2)^2\)= [ \(64 x^2 + 32x + 4 \)]

Q9) Expand and simplify
\((2x + 6)(4x -3)(4x+5)\)= [ \(32 x^3 + 112x^2+ 18x-90 \)]

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

Q10) Expand and simplify
\((4x + 5)(10x -2)\)= [ \(40 x^2 + 42x -10 \)]

Q10) Expand and simplify
\((8x + 3)(4x -3)(2x+4)\)= [ \(64 x^3 + 104x^2-66x-36 \)]