How do I find the square of a binomial? + Example - Socratic
2014年10月20日 · Finding the square of a binomial can be done by using the Distributive Property or FOIL. FOIL stands for First, Outer, Inner, Last. There also is a definition in which #(a + b)^2 = a^2 + 2ab + b^2# or #(a - b)^2 = a^2 - 2ab + b^2#
What is a perfect square binomial and how do you find the
2018年7月8日 · A perfect square binomial is a trinomial that when factored gives you the square of a binomial. Ex. (a+b)^2 = a^2 + 2ab + b^2 Ex. (2a + 3b)^2 = 4a^2 + 12ab + 9b^2
What is the formula for squaring a binomial? | Socratic
2015年7月17日 · Formula for the square of a binomial like (a+b) is derived by solving the multiplication (a+b)*(a+b) which equals to #(a+b)^2= a^2 +2ab +b^2# Answer link Related questions
What happens when you square a binomial? - Socratic
2015年8月16日 · I am not sure about what you need, but have a look: If you have a binomial such as (a+b) and you square it you get: (a+b)^2 but this is the same as: (a+b)(a+b) exactly as 4^2=4xx4. The result of (a+b)(a+b) is interesting because you need to multiply each term of the first bracket by each term of the second and add the results!
How do you use the binomial series to expand - Socratic
2016年11月25日 · How do you use the binomial series to expand #f(x)= sqrt(1+x^2)#? Precalculus The Binomial Theorem The Binomial Theorem. 1 Answer
Is ## a perfect square trinomial and how do you factor it?
2015年5月31日 · A perfect square trinomial is the square of a binomial. A general binomial is of the form #a+b#, so we need to look at: #(a+b)^2 = a^2 + 2ab + b^2# So a trinomial is a perfect square trinomial if the following three conditions hold: (1) The first term is a square. (2) The last term is a square.
Powers of the Binomial - Precalculus - Socratic
If you have a binomial such as #(a+b)# and you square it you get: #(a+b)^2# but this is the same as: #(a+b)(a+b)# exactly as #4^2=4xx4#. The result of #(a+b)(a+b)# is interesting because you need to multiply each term of the first bracket by each term of the second and add the results! #(a+b)(a+b)=a*a+a*b+b*a+b*b=a^2+2ab+b^2#
Special Products of Polynomials - Algebra - Socratic
A perfect square binomial is a trinomial that when factored gives you the square of a binomial. Ex. #(a+b)^2 = a^2 + 2ab + b^2# Ex. #(2a + 3b)^2 = 4a^2 + 12ab + 9b^2#
How do you use the binomial series to expand - Socratic
2014年9月7日 · By binomial series, #1/{sqrt{1-x^2}}=sum_{n=0}^{infty}{1cdot3cdot5cdot cdots cdot(2n-1)}/{2^n n!}x^{2n}# Let us first find the binomial series for
How do you use completing the square to make a perfect
2015年11月14日 · 49/16 In order to "complete the square," it's necessary to write a trinomial that is the equivalent to a binomial squared. Examples of perfect binomial squares would include x^2-6x+9, which is equivalent to (x-3)^2, and 36x^2-12x+1, which is equivalent to (6x-1)^2. Consider that (x+a)^2=x^2+2ax+a^2. If, for example, we wanted to complete the square with x^2+10x+? …