Mr Daniels Maths
Difference of two squares

Set 1

Set 2

Set 3

Q1) Expand \((x+4)(x-4)\) = [ \(x^2 - 16\)]

Q1) Factorise \(x^2 - 400\)= [ \((x+20)(x-20)\)]

Q1) Factorise \(100x^2-4\)= [ \((10x + 2)(10x - 2)\)]

Q2) Expand \((x+1)(x-1)\) = [ \(x^2 - 1\)]

Q2) Factorise \(x^2 - 144\)= [ \((x+12)(x-12)\)]

Q2) Factorise \(36x^2-16\)= [ \((6x + 4)(6x - 4)\)]

Q3) Expand \((x+8)(x-8)\) = [ \(x^2 - 64\)]

Q3) Factorise \(x^2 - 225\)= [ \((x+15)(x-15)\)]

Q3) Factorise \(9x^2-64\)= [ \((3x + 8)(3x - 8)\)]

Q4) Expand \((x+6)(x-6)\) = [ \(x^2 - 36\)]

Q4) Factorise \(x^2 - 324\)= [ \((x+18)(x-18)\)]

Q4) Factorise \(4x^2-81\)= [ \((2x + 9)(2x - 9)\)]

Q5) Expand \((x+5)(x-5)\) = [ \(x^2 - 25\)]

Q5) Factorise \(x^2 - 100\)= [ \((x+10)(x-10)\)]

Q5) Factorise \(100x^2-9\)= [ \((10x + 3)(10x - 3)\)]

Q6) Expand \((x+10)(x-10)\) = [ \(x^2 - 100\)]

Q6) Factorise \(x^2 - 289\)= [ \((x+17)(x-17)\)]

Q6) Factorise \(4x^2-100\)= [ \((2x + 10)(2x - 10)\)]

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

Q7) Factorise \(x^2 - 256\)= [ \((x+16)(x-16)\)]

Q7) Factorise \(4x^2-1\)= [ \((2x + 1)(2x - 1)\)]

Q8) Expand \((x+7)(x-7)\) = [ \(x^2 - 49\)]

Q8) Factorise \(x^2 - 196\)= [ \((x+14)(x-14)\)]

Q8) Factorise \(9x^2-9\)= [ \((3x + 3)(3x - 3)\)]

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

Q9) Factorise \(x^2 - 4\)= [ \((x+2)(x-2)\)]

Q9) Factorise \(36x^2-100\)= [ \((6x + 10)(6x - 10)\)]

Q10) Expand \((x+9)(x-9)\) = [ \(x^2 - 81\)]

Q10) Factorise \(x^2 - 361\)= [ \((x+19)(x-19)\)]

Q10) Factorise \(4x^2-9\)= [ \((2x + 3)(2x - 3)\)]