QUESTION 1
The given expression is
2+8
The greatest common factor of 2 and 8 is 2.
We can rewrite as: [tex]2+8=2\times1+2\times4[/tex]
Factor to get: [tex]2+8=2(1+4)[/tex]
QUESTION 2
Given: 9-3
Greatest common factor of 9 and 3 is 3.
Rewrite as: [tex]9-3=3\times3-3\times1[/tex]
Factor: [tex]9-3=3(3-1)[/tex]
QUESTION 3
Given: 30+25
Greatest common factor of 30 and 25 is 5.
Rewrite as: [tex]30+25=5\times6+5\times4[/tex]
Factor: [tex]30+25=5(6+4))[/tex]
QUESTION 4.
Given: 35-14
The greatest common factor of 35 and 14 is 7.
Rewrite as: [tex]35-14=5\times7-2\times7[/tex]
Factor: [tex]35-14=7(5-2)[/tex]
QUESTION 5
The given expression is 81-18.
The greatest common factor of 81 and 18 is 9.
Rewrite as: [tex]81-18=9\times9-9\times2[/tex]
Factor: [tex]81-18=9(9-2)[/tex]
QUESTION 6
Given: 60+100
The greatest common factor of 60 and 100 is 20.
Rewrite as : [tex]60+100=20\times3+20\times5[/tex]
Factor: [tex]60+100=20(3+5)[/tex]
QUESTION 7
Given: 28-20
The greatest common factor of 28 and 20 is 4.
Rewrite as: [tex]28-20=4\times7-4\times5[/tex]
Factor: [tex]28-20=4(7-5)[/tex]
QUESTION 8
Given: 72+48
The greatest common factor of 72 and 48 is 24.
Rewrite as: [tex]72+48=24\times3+24\times2[/tex]
Factor: [tex]72+48=24(3+2)[/tex]
QUESTION 9
The given expression is [tex]12x+18[/tex].
The greatest common factor of [tex]12x[/tex] and 18 is 6.
Rewrite as; [tex]12x+18=6\times2x+6\times3[/tex]
Factor; [tex]12x+18=6(2x+3)[/tex]
QUESTION 10
Given: [tex]4y+10[/tex]
The greatest common factor of [tex]4y[/tex] and 10 is 2.
Rewrite the expression as; [tex]4y+10=2\times2y+2\times5[/tex]
Factor: [tex]4y+10=2(2y+5)[/tex]
