Consider the following expanded powers of (a + b)n, where a + b is any binomial and n is a whole number. Look for patterns.
Each expansion is a polynomial. There are some patterns to be noted.
1. There is one more term than the power of the exponent, n. That is, there are terms in the expansion of (a + b)n.
2. In each term, the sum of the exponents is n, the power to which the binomial is raised.
3. The exponents of a start with n, the power of the binomial, and decrease to 0. The last term has no factor of a. The first term has no factor of b, so powers of b start with 0 and increase to n.
4. The coefficients start at 1 and increase through certain values about "half"-way and then decrease through these same values back to 1.
It would take Johny 28 mins to type a 2,100 word essay.
You have to do 10•10•10•10•10 (multiply 10, 5 times). Once you multiply 10 five times, you end up with an answer of 100,000 pencils in each box. Then since you have 6 boxes of pencils you have to multiply 100,000•6, which equals 600,000 pencils total.
