Squaring

Algebra Level 2

Evaluate

( x 2 + x + 1 ) 2 (x^2 + x + 1)^2

x 4 + 2 x 3 + 4 x 2 + 2 x + 1 x^4 + 2x^3 + 4x^2 + 2x + 1 x 4 + x 3 + x 2 + x + 1 x^4 + x^3 + x^2 + x + 1 x 4 + 2 x 3 + 3 x 2 + 2 x + 1 x^4 + 2x^3 + 3x^2 + 2x + 1 x 4 + 2 x 3 + 2 x 2 + 2 x + 1 x^4 + 2x^3 + 2x^2 + 2x + 1

Chung Kevin by Chung Kevin , 46, Australia

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1 solution

Ossama Ismail
Nov 9, 2016

Just put x =1 ... R H S = 9 RHS = 9 substitute is each of the given equation !

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Can you please explain?

Rico Lee - 4 years, 7 months ago

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Ok put x= 1 in ( x 2 + x + 1 ) 2 = ( 1 + 1 + 1 ) 2 = 9 (x^2 + x + 1)^2 = (1+1+1)^2 = 9

check the four equations in the answer and check which of equal 9. This is an easy way to solve quickly these types of problems.

Ossama Ismail - 4 years, 7 months ago

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