Question

factorise x to the power 4 plus x square + 1 ​

Answer 1

Answer:

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

Step-by-step explanation:

Convert the expression into a perfect square by adding and subtracting x square.

Then factorise using

${a}^{2} - {b}^{2} = (a + b)(a - b)$