You are attempting to distribute multiplication over multiplication.3301 said:
4*8= 32 but where did the "20" come from? 4(8)(5)= 32(5)= 160.3301 said:
The general formula for expanding binomial expressions is (a + b)^n = a^n + na^(n-1)b + (n(n-1)/2)a^(n-2)b^2 + ... + (n choose k)a^(n-k)b^k + ... + nb^n, where n is the power and a and b are the two terms of the binomial expression.
A binomial expression with a negative exponent can be expanded by first converting it to a positive exponent by using the rule a^(-n) = 1/a^n. Then, the general formula for expanding binomial expressions can be applied as usual.
Yes, binomial expressions can be expanded with fractional or decimal powers. The same general formula can be used, but instead of using whole numbers for the power, the fractional or decimal value can be substituted.
Expanding binomial expressions allows us to simplify and solve more complex algebraic equations. It also helps in understanding the relationship between the terms in the expression and identifying patterns.
Yes, there are a few shortcuts or tricks that can be used for expanding binomial expressions. These include the difference of two squares formula (a^2 - b^2 = (a + b)(a - b)), the square of a binomial formula (a + b)^2 = a^2 + 2ab + b^2, and the cube of a binomial formula (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3.