Binomial Expansion

Expand $(2+x)12\displaystyle (2+x)^{\frac{1}{2}}$ in ascending powers of $x\,$ up to and including $x^3$ .

[4]

Write down the range of values of $x\,$ for which the expansion is valid.

[1]

Use your expansion, with $x = 0.5$ , to find an approximation of the value of $10\sqrt{10}$ . Give your answer to 3 decimal places.

[3]

Binomial Expansion Questions

Expand $(2+x)12\displaystyle (2+x)^{\frac{1}{2}}$ in ascending powers of $x\,$ up to and including $x^3$ .

[4]

Write down the range of values of $x\,$ for which the expansion is valid.

[1]

Use your expansion, with $x = 0.5$ , to find an approximation of the value of $10\sqrt{10}$ . Give your answer to 3 decimal places.

[3]