Taught Fractal Geometry and elementary number theory before. Comfortable with most areas of pure maths. Finished my MMath degree at the university of St Andrews.
We can find the coefficients in the expansion of$(a+b)^{n}$ from the nth row of __________ triangle. So $(a+b)^{4}=\square a^{4}+\square a^{3} b+\square a^{2} b^{2}+\square a b^{3}+\square b^{4}$
The binomial coefficients can be calculated directly by using the formula $\left(\begin{array}{l}{n} \\ {k}\end{array}\right)$= ___________. So$\left(\begin{array}{l}{4} \\ {3}\end{array}\right)$= _____________.
Perform each indicated operation. Simplify if possible. See Examples I through 7.$$\frac{-8}{x^{2}-1}-\frac{7}{1-x^{2}}$$
Write each sum as a single logarithm. Assume that variables represent positive numbers. See Example 1.$$\log _{5} 2+\log _{5} 7$$
Write each sum as a single logarithm. Assume that variables represent positive numbers. See Example 1.$$\log _{4} 9+\log _{4} x$$
Write each sum as a single logarithm. Assume that variables represent positive numbers. See Example 1.$$\log _{6} x+\log _{6}(x+1)$$
