Question

factorise x power 5 + x power 2​

Answer 1

Answer:

x poer 2 (x power 3 plus  1)

Step-by-step explanation:

Answer 2

Step-by-step explanation:

${x}^{2} + {x}^{5} = > {x}^{2}(1 + {x}^3) = >$

Add and subtract

${x}^{4} and \: {x}^{3}$

$= > {x}^{2}(1 + {x}^3) + {x}^{4} - {x}^{4} + {x}^{3} - {x}^{3}$

$= > {x}^{2}(1 + {x}^{3} + {x}^{2} - {x}^{2} - x + x)$

$= > {x}^{2}( {x}^{3} - {x}^{2} + x + {x}^{2} - x + 1) = >$

$= > {x}^{2}(x( {x}^{2} - x + 1) + ( {x}^{2} - x + 1))$

$= > {x}^{2}(x + 1)( {x}^{2} - x + 1)$

Hope it helps you.