Mr Daniels Maths
Expanding Double and Triple Brackets

Set 1

Set 2

Set 3

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

Q1) Expand and simplify
\((8x + 3)(4x -3)\)= [ \(32 x^2 -12x -9 \)]

Q1) Expand and simplify
\((10x + 5)(2x + 2)(5x+5)\)= [ \(100 x^3 + 250x^2+ 200x+50 \)]

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

Q2) Expand and simplify
\((2x + 3)(5x -2)\)= [ \(10 x^2 + 11x -6 \)]

Q2) Expand and simplify
\((7x + 5)(9x + 3)(5x+3)\)= [ \(315 x^3 + 519x^2+ 273x+45 \)]

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

Q3) Expand and simplify
\((6x + 2)^2\)= [ \(36 x^2 + 24x + 4 \)]

Q3) Expand and simplify
\((6x + 6)(7x + 5)(4x+5)\)= [ \(168 x^3 + 498x^2+ 480x+150 \)]

Q4) Expand and simplify
\((x -3)(x -1)\)= [ \(x^2 -4x + 3\)]

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

Q4) Expand and simplify
\((9x + 4)(8x -3)(3x+3)\)= [ \(216 x^3 + 231x^2-21x-36 \)]

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

Q5) Expand and simplify
\((9x + 1)(5x -4)\)= [ \(45 x^2 -31x -4 \)]

Q5) Expand and simplify
\((2x + 4)(7x -2)(2x+5)\)= [ \(28 x^3 + 118x^2+ 104x-40 \)]

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

Q6) Expand and simplify
\((5x + 3)(2x -5)\)= [ \(10 x^2 -19x -15 \)]

Q6) Expand and simplify
\((9x + 3)(10x -2)(2x+4)\)= [ \(180 x^3 + 384x^2+ 36x-24 \)]

Q7) Expand and simplify
\((x -4)(x -2)\)= [ \(x^2 -6x + 8\)]

Q7) Expand and simplify
\((5x + 2)^2\)= [ \(25 x^2 + 20x + 4 \)]

Q7) Expand and simplify
\((7x + 1)(7x -6)(5x+5)\)= [ \(245 x^3 + 70x^2-205x-30 \)]

Q8) Expand and simplify
\((x -3)(x -4)\)= [ \(x^2 -7x + 12\)]

Q8) Expand and simplify
\((2x + 5)(8x -2)\)= [ \(16 x^2 + 36x -10 \)]

Q8) Expand and simplify
\((6x + 5)(4x -3)(3x+5)\)= [ \(72 x^3 + 126x^2-35x-75 \)]

Q9) Expand and simplify
\((x -5)^2\)= [ \(x^2 -10x + 25\)]

Q9) Expand and simplify
\((8x + 3)(2x -5)\)= [ \(16 x^2 -34x -15 \)]

Q9) Expand and simplify
\((4x + 6)(10x -3)(4x+4)\)= [ \(160 x^3 + 352x^2+ 120x-72 \)]

Q10) Expand and simplify
\((x -4)^2\)= [ \(x^2 -8x + 16\)]

Q10) Expand and simplify
\((10x + 4)^2\)= [ \(100 x^2 + 80x + 16 \)]

Q10) Expand and simplify
\((4x + 4)(2x + 2)(4x+3)\)= [ \(32 x^3 + 88x^2+ 80x+24 \)]