Question

(a+1)(a-1)(a^2+1)????????​

Answer 1

$\huge{ \text{❣Solution}}$

$\sf{ \large{ \red{(a + 1)(a - 1)( {a}^{2} + 1)}}}$

$\sf{ \large{ = ((a) {}^{2} - (1) {}^{2} )( {a}^{2} + 1)}}$

$\sf{ \large{ = ({a}^{2} - 1)( {a}^{2} + 1)}}$

$\sf{ \large{ = > ( {a}^{2} ) {}^{2} - 1 {}^{2} }}$

$\large{ \boxed{ \sf{ \orange{ = {a}^{4} - 1}}}}$

Important formulas:-

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

$\sf{ \bold{(a - b)( {a}^{2} + ab + {b}^{2} ) = {a}^{3} - {b}^{3} }}$

$\sf{ \bold{(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3} }}$

Hope this helps you mate!!