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ACTIVITY 3 (15 points)
Directions: A. Factor the following completely.
12x+16y²
1.
2.
25x²yz - 10xz
3. a-9
4.
121-49x²
5. x+16x+64
6. 4a 12a +9
7. x* + 5x + 6
8.
x2-x-20
9. a3+b3
10. 27x3-8y3
​

ACTIVITY 3 15 PointsDirections A Factor The Following Completely12x16y1225xyz 10xz3 A9412149x5 X16x646 4a 12a 97 X 5x 68x2x209 A3b310 27x38y3 class=

Sagot :

Answer:

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1. 12x + 16y^2

Factor out the greatest common factor:

4(3x + 4y^2)

2. 25x^2yz - 10xz

Factor out the common factor 5xz:

5xz(5xy - 2)

3. a^2 - 9

This is a difference of squares, which can be factored as:

(a + 3)(a - 3)

4. 121 - 49x^2

This is a difference of squares:

(11 + 7x)(11 - 7x)

5. x^2 + 16x + 64

This is a perfect square trinomial:

(x + 8)^2

6. 4a^2 + 12ab + 9

This is a perfect square trinomial:

(2a + 3)^2

7. x^2 + 5x + 6

This can be factored into:

(x + 2)(x + 3)

8. x^2 - x - 20

This can be factored into:

(x - 5)(x + 4)

9. a^3 + b^3

This is a sum of cubes:

(a + b)(a^2 - ab + b^2)

10. 27x^3 - 8y^3

This is a difference of cubes:

(3x - 2y)(9x^2 + 6xy + 4y^2)

These are the completely factored forms of the given expressions.

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