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COMMON FACTORS

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COMMON FACTORS

ax + ay = a(x + y)

Think Distributive property backwards

Work down,

and show all steps!

Problem 1

3x + 3y

= 3(x + y)

Problem 2

5x - 25

=5(x – 5)

Problem 3

ax - ay

= a(x – y)

Problem 4

2x2 - 10x

=2x(x- 5)

Problem 5

x2y - 3x2

=x2(y – 3)

Problem 6

x2z + y2z2

=z(x2 + y2z)

Problem 7

8x - 16y

= 8(x - 2y)

Problem 8

4a + 20b

= 4(a + 5b)

Problem 9

3x - 6y + 12

=3(x - 2y + 4)

Problem 10

5 + 15n + 45m

= 5(1 + 3n + 9m)

Problem 11

13a2 - 169a

=13a(a – 13)

Problem 12

8x - 56x3

= 8x(1 - 7x2)

Problem 13

14x2 + 35x4

=7x2(2 + 5x2)

Problem 14

y3 - 3y2 + 17y4

= y2(y - 3 + 17y2)

Problem 15

3x3 + 3x2 + 6x

= 3x(x2 + x + 2)

Problem 16

x3 + 3x2y + 3xy

= x( x2 + 3xy + 3y)

Problem 17

4a4b - 16a2b2 + 4ab4

= 4ab(a3 - 4ab + b3)

Problem 18

15x2y2+ 225x3y3 + 15x4y4

=15x2y2(1 + 15xy + x2y2)

Problem 19

15x3 +24x2 + 36x

=3x( 5x2 + 8x + 12)

Problem 20

a3y3 + a2y2 + ay

= ay(a2y2 + ay +1)