2006-12-04 07:03:07 · 6 answers · asked by majleo911966336 1 in Science & Mathematics ➔ Mathematics
(x + 3)(x + 3)
It doesn't look like the difference of anything, so I would assume that it is the square of binomials... :-\
2006-12-04 07:06:21 · answer #1 · answered by Dave 6 · 1⤊ 0⤋
Differences of squares are obvious when you see them because they usually consist of only two terms. Examples of difference of squares are:
x^2 - 9, 4x^2 - 16, x^2 - y^2, and 9x^2 - 1
As you can see, there are only two terms, and x^2 - y^2 factors into (x-y)(x+y)
By elimination, that makes the problem a square of a binomial.
A key thing to know about recognizing squares of binomials is, if you take the coefficient of x, and take "half squared" of it, you'll end up with the number that doesn't have an x-term.
Let's verify that x^2 + 6x + 9 is a square of a binomial.
Take half of 6 (which is 3), and then square it (which is 9). 9 is that number without the x-term, so it is indeed square.
Other examples of square binomials;
x^2 + 2x + 1, x^2 - 2x + 1, 4x^2 - 4x + 1, x^2 + 2xy + y^2
2006-12-04 15:16:26 · answer #2 · answered by Puggy 7 · 1⤊ 0⤋
x^2 +6x + 9
(x+3)^2 square of a binomial.
2006-12-04 15:16:42 · answer #3 · answered by yupchagee 7 · 1⤊ 0⤋
=(x+3)^2 square of a binomial. Binomial being a function with two terms. In this case x and 3. Terms are separated by + or - sign in an equation.
2006-12-04 15:11:16 · answer #4 · answered by Ben 1 · 1⤊ 0⤋
yeah it is square of binomials (x+3)^2
2006-12-04 15:08:08 · answer #5 · answered by Jess 3 · 1⤊ 0⤋
it is the square of binomial (x+3)
2006-12-04 15:07:19 · answer #6 · answered by Anonymous · 1⤊ 0⤋