Multiply binomials and special products

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Learn it Multiply every term in the first bracket by every term in the second, then collect like terms. Two patterns are worth knowing by heart: (a + b)² = a² + 2ab + b², and (a + b)(a − b) = a² − b².

Example: Expand (2x − 3)².

(2x − 3)² = (2x)² − 2(2x)(3) + 3²
= 4x² − 12x + 9.
A common mistake is to write 4x² + 9: don't forget the middle term.

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