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2 22 4 49x y

2 23 9 16y y

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Page 268, 33 - 52 2 225 25m m

2 24 4y y

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4 2 4 2bb a a

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Factor:

y6 – 1

(y3 + 1)(y3 - 1)

Factor completely:32x2 – 50y2

2(16x2 – 25y2)

2(4x + 5y) (4x - 5y)

Factor completely:81x4 – y8

(9x2 + y4) (9x2 – y4)

(9x2 + y4) (3x + y2) (3x – y2)

Factor A, C, E, G B, D, F

1 x2 - 49 x2 - 25

2 36x2 - 4 16x2 - 9

3 8x2 - 18 12x2 - 3

4 81x4 - 1 x4 - 81

516x2 + 36 36x2 + 4

7 7x x 5 5x x

4 3 1 3 1x x 4 3 4 3x x

2 2 3 2 3x x 3 2 1 2 1x x

29 1 3 1 3 1x x x 2 9 3 3x x x

24 4 9x 24 9 1x

Multiply: (x + 3)2

x2 + 9+ 6x

Multiply: (2x - 5)2

4x2 +25

- 20x

Trinomial SquaresTrinomial Squares

Trinomial Squaresx2 + 6x +9

4x2 – 20x + 25

a. Two of the terms must be squares (A2 and B2)

b. No minus sign before A2 and B2

c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)

Is 4x2 – 20x + 25 a Trinomial Square?

a. Two of the terms must be squares (A2 and B2)

b. No minus sign before A2 and B2

c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)

Yes!!

Is x2 + 8x + 16 a Trinomial Square?

a. Two of the terms must be squares (A2 and B2)

b. No minus sign before A2 and B2

c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)

Yes!!

Is x2 - 12x + 4 a Trinomial Square?

a. Two of the terms must be squares (A2 and B2)

b. No minus sign before A2 and B2

c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)

no

Is 9x2 - 12x + 16 a Trinomial Square?

a. Two of the terms must be squares (A2 and B2)

b. No minus sign before A2 and B2

c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)

no

Is 9x2 + 24x - 16 a Trinomial Square?

a. Two of the terms must be squares (A2 and B2)

b. No minus sign before A2 and B2

c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)

no

Is 16x2 + 40xy + 25y2 a Trinomial Square?

a. Two of the terms must be squares (A2 and B2)

b. No minus sign before A2 and B2

c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)

yes

To Factor Trinomial Squares:•A2 + 2AB + B2 (A + B)2

•A2 - 2AB + B2 (A - B)2

Factor: x2 + 10x + 25

(x + 5)2

To Factor Trinomial Squares:•A2 + 2AB + B2 (A + B)2

•A2 - 2AB + B2 (A - B)2

Factor: x2 - 8x + 16

(x - 4)2

To Factor Trinomial Squares:•A2 + 2AB + B2 (A + B)2

•A2 - 2AB + B2 (A - B)2

Factor: 4x2 + 12x + 9

(2x + 3)2

To Factor Trinomial Squares:•A2 + 2AB + B2 (A + B)2

•A2 - 2AB + B2 (A - B)2

Factor: 2x2 + 12x + 18

2(x + 3)2

2(x2 + 6x + 9)

Assignment:Page 272

1 – 37 odd,39-54 by3’s,

60, 61