ALGEBRA I - SECTION 8-3 : MULTIPLYING BINOMIALS 6/30/2019 ALGEBRA I @ SECTION 8-3 : MULTIPLYING BINOMIALS

Shelby and Sarah have a sunflower garden Shelby and Sarah have a sunflower garden. The measure of each side is x feet. They decide they want to expand their garden to plant roses, tulips and daffodils. To expand the garden they will add 2 feet to the length and 3 feet to the width. Find the area of the new garden.

Shelby and Sarah have a sunflower garden Shelby and Sarah have a sunflower garden. The measure of each side is x feet. They decide they want to expand their garden to plant roses, tulips and daffodils. To expand the garden they will add 2 feet to the length and 3 feet to the width. Find the area of the new garden. x 3 sunflower rose daffodil tulip x 2

To multiply a binomial by a binomial

To multiply a binomial by a binomial (x + y) (a + b)

To multiply a binomial by a binomial (x + y) (a + b) First → x•a

To multiply a binomial by a binomial (x + y) (a + b) First → x•a xa

To multiply a binomial by a binomial (x + y) (a + b) First → x•a Outer → x•b xa

To multiply a binomial by a binomial (x + y) (a + b) First → x•a Outer → x•b xa + xb

To multiply a binomial by a binomial (x + y) (a + b) First → x•a Outer → x•b xa + xb Inner → y•a

To multiply a binomial by a binomial (x + y) (a + b) First → x•a Outer → x•b xa + xb + ya Inner → y•a

To multiply a binomial by a binomial (x + y) (a + b) First → x•a Outer → x•b xa + xb + ya Inner → y•a Last → y•b

To multiply a binomial by a binomial (x + y) (a + b) First → x•a Outer → x•b xa + xb + ya + yb Inner → y•a Last → y•b

F.O.I.L. To multiply a binomial by a binomial (x + y) (a + b) First → x•a Outer → x•b xa + xb + ya + yb Inner → y•a Last → y•b

F.O.I.L. 1) (y + 4)(y + 6)

F.O.I.L. 1) (y + 4)(y + 6) 2) (2x - 3)(2x + 2)

F.O.I.L. 1) (y + 4)(y + 6) 2) (2x - 3)(2x + 2) 3) (3a - b)(2a + 4b)

F.O.I.L. 1) (y + 4)(y + 6) 2) (2x - 3)(2x + 2) 3) (3a - b)(2a + 4b) 4) (n + 5)(n + 3)

F.O.I.L. 5) (2x + y)(3x – 2y)

F.O.I.L. 5) (2x + y)(3x – 2y) 6) (x² - 4)(2x + 3)

F.O.I.L. 5) (2x + y)(3x – 2y) 6) (x² - 4)(2x + 3) 7) (x² + 5)(3x² - 1)

F.O.I.L. 5) (2x + y)(3x – 2y) 6) (x² - 4)(2x + 3) 7) (x² + 5)(3x² - 1) 8) (8m + 2n)(6n + 5m)

F.O.I.L. 9) (4x - 3)(2x + 5)

F.O.I.L. 9) (4x - 3)(2x + 5) 10) (9x² - 3)(9x + 3)

F.O.I.L. 9) (4x - 3)(2x + 5) 10) (9x² - 3)(9x + 3) 11) (x + 5)(x - 5)

F.O.I.L. 9) (4x - 3)(2x + 5) 10) (9x² - 3)(9x + 3) 11) (x + 5)(x - 5) 12) (2m + 2)(2m + 2)

13) (4x + 3)(3x2 – 2x + 5) 14) (2x2 – 3x + 5)(x2 + 8x – 3) Find each product. 13) (4x + 3)(3x2 – 2x + 5) 14) (2x2 – 3x + 5)(x2 + 8x – 3)

Find the area of the rectangle...

Find the area of the rectangle... 2x-4 x+2

Find the area of the rectangle... x+4 2x-4 x+2 x²-8

Find the area of the shaded region 2x + 1 x + 2 8 x+7 6 x - 1

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