Question 1
13176

Factorise \({x^3} - {x^2} + x - 1\)

\((x - 1)({x^2} + 1)\)

Question 2
13177

Factorise \(81{m^2} - 16{n^2}\) 

\((9m - 4n)(9m + 4n)\)

Question 3
13178

Factorise \({y^2} - 16y - 80\)

\((y - 20)(y + 4)\)

Question 4
13179

Factorise \(5{u^2} + 23u + 12\)

\((u + 4)(5u + 3)\)

Question 5
13180

Factorise \({{\rm{y}}^3} + 9{y^2} - y - 9\) ?

\((y + 9)(y - 1)(y + 1)\)

Question 6
18188

Factorise \(24{a^2}bc-72ac\)

\(24ac\left( {ab - 3} \right)\)

Question 7
18189

Factorise \(64{m^2}-49{n^2}\)

\((8m - 7n)(8m + 7n)\)

Question 8
18190

Factorise \({x^2}+7x+10\)

\((x + 2)(x + 5)\)

Question 9
18191

Factorise \(10{x^2}+5x+2xy+y\)

\((2x + 1)(5x + y)\)

Question 10
18192

Factorise \({x^2}+2xy+5{x^3}+10{x^2}y\)

\(x(x+2y)(5x+1)\)

Question 11
18193

Factorise \(5x+2y+xy+10\)

\((x + 2)(y + 5)\)

Question 12
18194

Factorise \({x^3}+4{x^2}+3x\)

\(x\left( {x + 1} \right)\left( {x + 3} \right)\)

Question 13
18195

Factorise \({x^4}-6{x^2}-27\)

\(\left( {{x^2} + 3} \right)\left( {x - 3} \right)\left( {x + 3} \right)\)

Question 14
18196

Factorise \(81-{x^4}\)

\(\left( {3 - x} \right)\left( {3 + x} \right)\left( {9 + {x^2}} \right)\)

Question 15
18198

Factorise \(ab-b+{b^2}-a\)

\((a + b)(b - 1)\)