WU #19 Simplify: 4x2 – 2x x2 + 4x – 1 Multiply: (x + 7)(x – 2)

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WU #19 Simplify: 4x2 – 2x + 4 + 3x2 + 4x – 1 Multiply: (x + 7)(x – 2)

5.10 Multiplying Binomials: Special Products Goal: To multiply the difference of two squares and square a binomial

Foil Multiply: (x + 3)(x – 3) x2 – 3x + 3x - 9 x2 - 9

The square of the first term minus the square of the second. Difference of 2 Squares The product 0f (A + B) and (A – B) is always The square of the first term minus the square of the second. (a + b)(a – b) = a2 – b2

Multiply (Mental Math) (3x + 2)(3x – 2) = (3x)2 (2)2 - (ALWAYS) 9x2 4

Multiply (Mental Math) (x + 3)(x – 3) = x2 - 9

Multiply (Mental Math) (2x + 1)(2x – 1) = 4x2 - 1

Multiply (Mental Math) (2x3 + y)(2x3 – y) = (2x3) = (2x3)(2x3) = 2•2•x3•x3 4x6 – y2 4x6 -

Multiply (Mental Math) (4x4 + 3y)(4x4 – 3y) = 16x8 – 9y2

Multiply (Mental Math) (3x + 5)(3x – 5) = 9x2 - 25

Multiply (Mental Math)

Multiply (Mental Math)

Multiplying a binomial by itself is called “squaring the binomial” Multiply: (x + 3)2 (x + 3)(x + 3) x2 + 3x + 3x + 9 x2 + 6x + 9

Multiplying a binomial by itself is called “squaring the binomial” Multiply: (x – 5)2 (x -5)(x-5) x2 - 5x - 5x + 25 x2 - 10x + 25

Square of a Binomial Rules (a + b)2 = a2 + 2ab + b2 (a - b)2 = a2 – 2ab + b2

Multiply x2 +2(x)(3) + 32 (x + 3)2 = Use the rule : (a+b)2 = a2 +2ab +b2 a=x and b = 3, plug it into the formula x2 +2(x)(3) + 32 x2 + 6x + 9

Multiply: Mentally Using the Formula +25

Multiply: Mentally Using the Formula (2x + 7)2 = 4x2 + 28x + 49

Multiply: Mentally Using the Formula (3x – 5y)2 = 9x2 - 30xy + 25y2

Multiply: Mentally Using the Formula (4x3 – 3x)2 = 16x6 - 24x4 + 9x2

Assignment: Page 247 (2-40) even