Mathematics » Polynomials II » Special Products

# Special Products Summary

## 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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