Question

using the proper idenity, simplify the following (x2+x+1) (x2-x+1)​

Answer 1

Answer:

x2(x2-x+1) +x(x2-x+1) +1(x2-x+1)

x4-x3+x2+x3-x2+x+x2-x+1

x4+x2+1

x6+1 Ans.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

(x² + x + 1) (x² - x + 1)

Applying Identity,

${\bold{\sf{\fbox{\pink{a² \: - \: b² \: = \: (a \: + \: b)(a \: - \: b)}}}}}$

${\bold{\sf{ \: \: \: \: \: \: \: \: \: \: ⟹ \: \: \: \: \: (x² \: - \: x)² \: - \: ( 1 )²}}}$

${\bold{\sf{ \: \: \: \: \: \: \: \: \: \: ⟹ \: \: \: \: \: x⁴ \: + \: x² \: + \: 2x² \: × \: x \: - \: 1}}}$

${\bold{\sf{ \: \: \: \: \: \: \: \: \: \: ⟹ \: \: \: \: \: [(a² \: + \: b²) \: = \: a² \: + \: b² \: + \: 2ab]}}}$

${\bold{\sf{ \: \: \: \: \: \: \: \: \: \: ⟹ \: \: \: \: \: x⁴ \: + \: x² \: + \: 2x³ \: - \: 1}}}$