5.10 Multiplying Binomials: Special Products

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Presentation transcript:

5.10 Multiplying Binomials: Special Products

Review: FOIL (x +2) (x-2) 2. (x-4) (x+4) 3. (2x+5)(2x-5) 4. (x-6)(x+6)

Helpful Hint When the binomials are the same except for one is + and the other is –: The middle term will always cancel out Square the first term Square the second term

Difference of Two Squares Rule: (a + b)(a – b) =a2 – b2

Ex 1: (3x + 2)(3x – 2) = (3x)2 (2)2 - (ALWAYS) 9x2 4

Ex 2: (x + 3)(x – 3) = x2 - 9

Ex 3: (2x + 1)(2x – 1) = 4x2 - 1

Ex 4: (2x3 + y)(2x3 – y) = (2x3) = (2x3)(2x3) = 2•2•x3•x3 4x6 – y2

Ex 5: (4x4 + 3y)(4x4 – 3y) = 16x8 – 9y2

Ex 6: (3x + 5)(3x – 5) = 9x2 - 25

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