Expand: (y+k)^5 - Vidyadip

Question

Expand: $(y+k)^5$

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Answer

$(y+k)^5$
$={ }^5 C_{0 y^5} \cdot k^0+{ }^5 C_1 y^4 \cdot k^1+{ }^5 C_2 y^3 \cdot k^2+{ }^5 C_3 y^2 \cdot k^3+{ }^5 C_4 y^1 \cdot k^4+{ }^5 C_5 y^0 \cdot k^5$
$=1 \cdot y^5 \cdot 1+5 y^4 k+10 y^3 k^2+10 y^2 k^3+5 y k^4+1 \cdot 1 \cdot k^5$
$=y^5+5 y^4 k+10 y^3 k^2+10 y^2 k^3+5 y k^4+k^5$

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