Question

$factorise \: x {}^{3} + 13x {}^{3} + 32x + 20$

Answer 1

Hey user

Here is your answer :-

x^3 + 13x + 32x + 20

》x^3 + 10x^2 + 3x^2 + 32x + 20

》x^2 ( x + 10 ) + 3x^2 + 30x + 2x + 20

》x^2 ( x + 10 ) + 3x ( x + 10 ) + 2x + 20

》x^2 ( x + 10 ) + 3x ( x + 10 ) + 2 ( x + 20 )

》( x + 10 )( x^2 + 3x + 2 )

》( x + 10 )( x^2 + x + 2x + 2 )

》( x + 10 )[ x ( x + 1 ) + 2 ( x + 1 ) ]

》( x + 1 )( x + 2 )( x + 10 )

Thank you .