Expand (x – 4)^5 using the Binomial Theorem and Pascal’s triangle

Motassem Kassab asked Sep 12, 2023

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Motassem Kassab asked Sep 12, 2023

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23 votes

$5th \: row = 1 \: \: \: 5 \: \: \: 10 \: \: \: 10 \: \: \: 5 \: \: \: 1$

$(x - 4) {}^(5) = x {}^(5) + 5x {}^(4) ( - 4) {}^(1) + 10x {}^(3) ( - 4) {}^(2) + 10x {}^(2) ( - 4) {}^(3) + 5x( - 4) {}^(4) + ( - 4) {}^(5)$

$(x - 4) {}^(5) = x {}^(5) - 20x {}^(4) + 160x {}^(3) - 640x {}^(2) + 1280x - 1024$

Tommy Lees answered Sep 18, 2023

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