Factorize.

Level pending

One of the factor of x 4 + 4 \displaystyle { x }^{ 4 }+4 is

x 2 − 2 \displaystyle { x }^{ 2 }-2 x 2 + 2 \displaystyle { x }^{ 2 }+2 x + 1 \displaystyle x+1 x 2 − 2 x + 2 \displaystyle { x }^{ 2 }-2x+2

Soumo Mukherjee by Soumo Mukherjee , 25, India

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1 solution

Soumo Mukherjee
Dec 15, 2014

x 4 + 4 = ( x 4 + 4 x 2 + 4 ) − 4 x 2 = ( x 2 + 2 ) 2 − ( 2 x ) 2 = ( x 2 + 2 x + 2 ) ( x 2 − 2 x + 2 ) { x }^{ 4 }+4=({ x }^{ 4 }+4{ x }^{ 2 }+4)-4{ x }^{ 2 }\\ =({ { x }^{ 2 }+2) }^{ 2 }-{ (2x) }^{ 2 }\\ =({ x }^{ 2 }+2{ x }+2)({ x }^{ 2 }-2{ x }+2)

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Pls give me again question

Abhishek kumar - 6 years, 5 months ago

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