Question

find product of this pair of expression x³ + x² + x + 1 and x² - 1​

Answer 1

Step-by-step explanation:

this is the answer for your question

Answer 2

Answer:

${x}^{5} + {x}^{4 } - x - 1$

Step-by-step explanation:

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

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

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

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

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

$= {x} {}^{5} - x + {x}^{4} - 1$

$= {x}^{5} + {x}^{4 } - x - 1$