Question

Use the Binomial Theorem to expand (c – 11)4. Question 4 options:c4 – 44c3 + 726c2 – 5324c + 1464111c4 + 44c3 + 726c2 + 5324c + 14641cc4 + 44c3 + 726c2 + 5324c + 14641c4 – 44c3 + 726c2 – 5324c + 14641

Answer 1

Answer:

$c^4-44c^3+726c^2-5324c+14641$

Explanation:

The Binomial theorem is given by the formula;

$(x+y)^n=_{}\sum ^n_{k\mathop=0}nC_kx^{n-k}y^k$

Given the below;

$(c-11)^4$

We'll go ahead and use the Binomial theorem formula above to expand where;

$\begin{gathered} x=c \\ y=-11 \\ n=4 \end{gathered}$

So we'll have;

$\begin{gathered} (c-11)^4=_4C_0c^{4-0}(-11)^0+_4C_1c^{4-1}(-11)^1+_4C_2c^{4-2}(-11)^2+_4C_3c^{4-3}(-11)^3+_4C_4c^{4-4}(-11)^4 \\ =c^4-44c^3+726c^2-5324c+14641 \end{gathered}$