Math, asked by parth230, 1 year ago

expand: (1+x+x²)⁴ using binomial theorem

Answers

Answered by Yuichiro13
4
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♦ BINOMIAL EXPANSION ♦

→ Binomial Theorem's meant for "two" variables !

→ Use : [ ( 1 + x ) + x² ]⁴ = ⁴C₀( 1 + x )⁴ + ⁴C₁( 1 + x )³( x² ) + ...
    to get :

→ Expansion = [ 1 + 4x + 10x² + 16x³ + 19x⁴ + 16x⁵ + 10x⁶ + 4x⁷ + x⁸ ]
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Otherwise, you can surely use the Pascal's Triangle !! 
• The easiest way to do it is, finding the Variants !! In this case, its :
   → Just like Binomial Pascal, this one adds three to one !
[ Refer to the attachment ] ^^"
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HOPE IT HELPS ^_^
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