Question

Help here’s a few examples!!

Answer 1

QUESTION 1

The given expression is

2+8

The greatest common factor of 2 and 8 is 2.

We can rewrite as:
`2+8=2*1+2*4`

Factor to get:
`2+8=2(1+4)`

QUESTION 2

Given: 9-3

Greatest common factor of 9 and 3 is 3.

Rewrite as:
`9-3=3*3-3*1`

Factor:
`9-3=3(3-1)`

QUESTION 3

Given: 30+25

Greatest common factor of 30 and 25 is 5.

Rewrite as:
`30+25=5*6+5*4`

Factor:
`30+25=5(6+4))`

QUESTION 4.

Given: 35-14

The greatest common factor of 35 and 14 is 7.

Rewrite as:
`35-14=5*7-2*7`

Factor:
`35-14=7(5-2)`

QUESTION 5

The given expression is 81-18.

The greatest common factor of 81 and 18 is 9.

Rewrite as:
`81-18=9*9-9*2`

Factor:
`81-18=9(9-2)`

QUESTION 6

Given: 60+100

The greatest common factor of 60 and 100 is 20.

Rewrite as :
`60+100=20*3+20*5`

Factor:
`60+100=20(3+5)`

QUESTION 7

Given: 28-20

The greatest common factor of 28 and 20 is 4.

Rewrite as:
`28-20=4*7-4*5`

Factor:
`28-20=4(7-5)`

QUESTION 8

Given: 72+48

The greatest common factor of 72 and 48 is 24.

Rewrite as:
`72+48=24*3+24*2`

Factor:
`72+48=24(3+2)`

QUESTION 9

The given expression is
`12x+18`.

The greatest common factor of
`12x` and 18 is 6.

Rewrite as;
`12x+18=6*2x+6*3`

Factor;
`12x+18=6(2x+3)`

QUESTION 10

Given:
`4y+10`

The greatest common factor of
`4y` and 10 is 2.

Rewrite the expression as;
`4y+10=2*2y+2*5`

Factor:
`4y+10=2(2y+5)`