It will be helpful to memorize these patterns for writing squares of binomials as trinomials.

How to square binomials. The square of a binomial is the sum of: The square of the first terms twice the product of the two terms and the square of the last term. So if we're asked to square a binomial, all we have to do is square the coefficient of x, square the constant term, find twice the product of the coefficient and the constant, and then we just.

Y^2 + 8y + 8y + 64 y2. Identify a as the first term in the trinomial, b as the second term, and c as the third term. We start with (2𝑥) 4.

( a + b) 2 = a 2 + 2 a b + b 2. The result will be the square of the binomial. To factor binomials with exponents to the second power, take the square root of the first term and of the coefficient that follows.

Step 2:write each term as a perfect cube. Plug a, b, and c into. The square of a binomial is the sum of:

We’ll look at each part of the binomial separately. The square of a binomial is always a trinomial. The square of the difference of two binomials (two unlike terms) is the square of the first term plus the second term minus twice the product.

Factor out the gcf if necessary. What is square of binomials? This is called the binomial square.