Question

factorise:x^3+13x^2+32x+20

Answer 1

Here's your answer!!

____________________________

${x}^{3} + 13 {x}^{2} + 32x + 20$

${x}^{3} + {x}^{2} + 12 {x}^{2} + 12x + 20x + 20$

${x}^{2}(x + 1) + 12x(x + 1) + 20(x + 1)$

$(x + 1)( {x}^{2} + 12x + 20)$

$(x + 1)( {x}^{2} + (10x + 2x) + 20$

$(x + 1)x(x + 10) + 2(x + 10)$

$(x + 1)(x + 10)(x + 2)$
_______________________________

Hope it helps you!! :)