## Key Concepts

**Binomial Squares Pattern**- If \(a,b\) are real numbers,
- \({\left(a+b\right)}^{2}={a}^{2}+2ab+{b}^{2}\)
- \({\left(a-b\right)}^{2}={a}^{2}-2ab+{b}^{2}\)
- To square a binomial: square the first term, square the last term, double their product.

**Product of Conjugates Pattern**- If \(a,b\) are real numbers,
- \(\left(a-b\right)\left(a+b\right)={a}^{2}-{b}^{2}\)
- The product is called a difference of squares.

**To multiply conjugates:****square the first term square the last term**write it as a difference of squares

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