expand: (1+x+x²)⁴ using binomial theorem
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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 ^_^
♦ 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 ]
____________________________________________________________
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 ] ^^"
____________________________________________________________
HOPE IT HELPS ^_^
Attachments:
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