Question

multiply:
(iii) (x + 1) (x2 - x + 1)​

Answer 1

Answer:

(x + 1) (x² - x + 1)

(x + 1) (x² - x + 1)=x³-x²+x+x²-x+1

(x + 1) (x² - x + 1)=x³-x²+x+x²-x+1=x³+1

Answer 2

Multiply

(iii) (x + 1) (x² - x + 1)

${\sf{:\implies (x + 1) (x ^{2} - x + 1)}}$

${\sf{:\implies (x ) (x ^{2} - x + 1) + (1 ) (x ^{2} - x + 1)}}$

${\sf{:\implies (x ^{3} - {x}^{2} + x) + (x ^{2} - x + 1)}}$

${\sf{:\implies x ^{3} - {x}^{2} + x + x ^{2} - x + 1}}$

${\sf{:\implies x ^{3} - \cancel{ {x}^{2}} + \cancel{x} + \cancel{x ^{2}} - \cancel{x }+ 1}}$

${\sf{:\implies \bold {x ^{3} + 1}}}$

or

${\sf{:\implies (x + 1) (x ^{2} - x + 1)}}$

${\sf{:\implies {x}^{2} (x + 1) - x (x + 1)+ 1(x + 1)}}$

${\sf{:\implies ({x}^{3} + {x}^{2} ) - (x ^{2} + x)+ (x + 1)}}$

${\sf{:\implies {x}^{3} + {x}^{2} - x ^{2} - x+ x + 1}}$

${\sf{:\implies {x}^{3} + \cancel{ {x}^{2} } - \cancel{ {x}^{2} } -\cancel{ x }+ \cancel{ x } + 1}}$

${\sf{:\implies \bold {x ^{3} + 1}}}$