Mr Daniels Maths
Expanding Double and Triple Brackets

Set 1

Set 2

Set 3

Q1) Expand and simplify
\((x -3)^2\)= [ \(x^2 -6x + 9\)]

Q1) Expand and simplify
\((8x + 2)^2\)= [ \(64 x^2 + 32x + 4 \)]

Q1) Expand and simplify
\((6x + 5)(6x + 3)(4x+5)\)= [ \(144 x^3 + 372x^2+ 300x+75 \)]

Q2) Expand and simplify
\((x -3)(x -4)\)= [ \(x^2 -7x + 12\)]

Q2) Expand and simplify
\((8x + 2)^2\)= [ \(64 x^2 + 32x + 4 \)]

Q2) Expand and simplify
\((8x + 4)(2x + 2)(2x+2)\)= [ \(32 x^3 + 80x^2+ 64x+16 \)]

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

Q3) Expand and simplify
\((5x + 3)(2x + 2)\)= [ \(10 x^2 + 16x + 6 \)]

Q3) Expand and simplify
\((4x + 1)(8x -3)(2x+2)\)= [ \(64 x^3 + 56x^2-14x-6 \)]

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

Q4) Expand and simplify
\((4x + 4)(4x + 2)\)= [ \(16 x^2 + 24x + 8 \)]

Q4) Expand and simplify
\((6x + 6)(2x + 4)(3x+5)\)= [ \(36 x^3 + 168x^2+ 252x+120 \)]

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

Q5) Expand and simplify
\((5x + 2)^2\)= [ \(25 x^2 + 20x + 4 \)]

Q5) Expand and simplify
\((9x + 5)(5x + 2)(5x+2)\)= [ \(225 x^3 + 305x^2+ 136x+20 \)]

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

Q6) Expand and simplify
\((3x + 3)(6x -2)\)= [ \(18 x^2 + 12x -6 \)]

Q6) Expand and simplify
\((7x + 4)(10x -4)(3x+5)\)= [ \(210 x^3 + 386x^2+ 12x-80 \)]

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

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

Q7) Expand and simplify
\((4x + 2)(4x -3)(3x+2)\)= [ \(48 x^3 + 20x^2-26x-12 \)]

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

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

Q8) Expand and simplify
\((10x + 5)(7x + 2)(5x+2)\)= [ \(350 x^3 + 415x^2+ 160x+20 \)]

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

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

Q9) Expand and simplify
\((7x + 4)(6x + 2)(3x+4)\)= [ \(126 x^3 + 282x^2+ 176x+32 \)]

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

Q10) Expand and simplify
\((4x + 4)(2x + 3)\)= [ \(8 x^2 + 20x + 12 \)]

Q10) Expand and simplify
\((2x + 4)(3x + 3)(4x+4)\)= [ \(24 x^3 + 96x^2+ 120x+48 \)]