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
\((7x + 2)^2\)= [ \(49 x^2 + 28x + 4 \)]

Q1) Expand and simplify
\((9x + 4)(7x -3)(3x+3)\)= [ \(189 x^3 + 192x^2-33x-36 \)]

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

Q2) Expand and simplify
\((9x + 2)^2\)= [ \(81x^2 + 36x + 4 \)]

Q2) Expand and simplify
\((5x + 6)(8x + 5)(3x+4)\)= [ \(120 x^3 + 379x^2+ 382x+120 \)]

Q3) Expand and simplify
\((x -3)(x -2)\)= [ \(x^2 -5x + 6\)]

Q3) Expand and simplify
\((9x -2)^2\)= [ \(81x^2 -36x + 4 \)]

Q3) Expand and simplify
\((10x + 5)(7x + 2)(4x+5)\)= [ \(280 x^3 + 570x^2+ 315x+50 \)]

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

Q4) Expand and simplify
\((9x -4)^2\)= [ \(81x^2 -72x + 16 \)]

Q4) Expand and simplify
\((7x + 5)(6x -2)(5x+5)\)= [ \(210 x^3 + 290x^2+ 30x-50 \)]

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

Q5) Expand and simplify
\((5x + 4)(2x -2)\)= [ \(10 x^2 -2x -8 \)]

Q5) Expand and simplify
\((6x + 6)(10x -2)(5x+5)\)= [ \(300 x^3 + 540x^2+ 180x-60 \)]

Q6) Expand and simplify
\((x -4)(x -3)\)= [ \(x^2 -7x + 12\)]

Q6) Expand and simplify
\((7x -2)^2\)= [ \(49 x^2 -28x + 4 \)]

Q6) Expand and simplify
\((5x + 5)(2x + 2)(2x+3)\)= [ \(20 x^3 + 70x^2+ 80x+30 \)]

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

Q7) Expand and simplify
\((9x + 1)(7x -3)\)= [ \(63 x^2 -20x -3 \)]

Q7) Expand and simplify
\((2x + 4)(3x + 2)(4x+2)\)= [ \(24 x^3 + 76x^2+ 64x+16 \)]

Q8) Expand and simplify
\((x -4)(x -4)\)= [ \(x^2 -8x + 16\)]

Q8) Expand and simplify
\((2x + 4)^2\)= [ \(4 x^2 + 16x + 16 \)]

Q8) Expand and simplify
\((7x + 1)(2x -2)(5x+3)\)= [ \(70 x^3 -18x^2-46x-6 \)]

Q9) Expand and simplify
\((x -3)(x -3)\)= [ \(x^2 -6x + 9\)]

Q9) Expand and simplify
\((6x + 4)(6x + 2)\)= [ \(36 x^2 + 36x + 8 \)]

Q9) Expand and simplify
\((5x + 3)(2x + 2)(3x+2)\)= [ \(30 x^3 + 68x^2+ 50x+12 \)]

Q10) Expand and simplify
\((x -1)(x -2)\)= [ \(x^2 -3x + 2\)]

Q10) Expand and simplify
\((2x + 4)(8x + 2)\)= [ \(16 x^2 + 36x + 8 \)]

Q10) Expand and simplify
\((3x + 6)(8x -5)(2x+3)\)= [ \(48 x^3 + 138x^2+ 39x-90 \)]