Search results
Learn how to multiply binomials using perfect square trinomials and difference of squares. See examples, formulas, and practice problems with solutions.
Jul 28, 2021 · Recognize and Use the Appropriate Special Product Pattern. We just developed special product patterns for Binomial Squares and for the Product of Conjugates. The products look similar, so it is important to recognize when it is appropriate to use each of these patterns and to notice how they differ.
Learn how to multiply binomials using two special forms: perfect squares and the difference of two squares. Watch examples, tips, questions and answers from Sal Khan and other users.
These are known as special products. There are three special products of binomials that each follow a specific formula: Special Binomial Products. Product of a Sum: NROC. Product of a Difference: NROC. Product of a Sum and a Difference: NROC. Polynomials can be identified as special products by examining the characteristics of their terms.
What are the Special Products of Polynomials? The general form for multiplying two binomials is: (x +a)(x + b) = x2 + (a + b)x +ab. Special products: the two numbers are equal, so it's a square: (x +a)(x + a) = (x +a)2 = x2 + 2ax + a2, or. (x −a)(x − a) = (x −a)2 = x2 − 2ax + a2. Example : (x + 1)2 = x2 +2x + 1.
We have seen that some binomials and trinomials result from special products—squaring binomials and multiplying conjugates. If you learn to recognize these kinds of polynomials, you can use the special products patterns to factor them much more quickly.
Polynomial special products: perfect square (video) | Khan Academy. Google Classroom. Microsoft Teams. About. Transcript. Squaring binomials is a breeze when you recognize patterns! The perfect square pattern tells us that (a+b)²=a²+2ab+b². The video shows how to square more complex binomials.
