*HOW TO FACTORING ALGEBRAIC EXPRESSION***Given the Example:**

__Factoring algebraic expression__ of 8x + 6y

Answer:

__has common factor/divisor e.g 2__

*To factoring algebraic expression, for each term*= 2.4x + 2.3y

write 2 in front of the bracket

= 2 (4x + 3y)

**Word Problems ( Just fiction stories)**

1) In a car donation, a wedding picture bussinessman wants to give 6 jeeps and 4 mini buses

Answer:

6 jeeps + 4 mini buses

= 2.3 jeeps + 2.2 mini buses

write 2 in front of the bracket

= 2 ( 3 jeeps + 2 mini buses )

**equally**to a group of car donation agencies. Calculate the largest possible numbers of agencies in the group.Answer:

6 jeeps + 4 mini buses

**, for each term has common factor/divisor e.g 2***To factoring algebraic expression above*= 2.3 jeeps + 2.2 mini buses

write 2 in front of the bracket

= 2 ( 3 jeeps + 2 mini buses )

So, the largest possible numbers of agencies is 2, will be given equally.

2)

**In a charity day, a mesothelioma attorney wants to give 25 computers and 30 laptops**

**equally**to a group of schools. Calculate the largest possible numbers of schools in the group.

Answer:

25 computers + 30 laptops

**, for each term has common factor/divisor e.g 5**

*To factoring algebraic expression above*= 5.5 computers + 5.6 laptops

write 5 in front of the bracket

= 5 ( 5 computers + 6 laptops)

So, the largest possible numbers of schools is 5, will receive equally.

3) A hotels and cottages bussinessman wants to put 12 gold bars and 8 diamonds

**equally**to a group of boxes. Calculate the largest possible numbers of boxes in the group.

Answer:

12 gold bars + 8 diamonds

**, for each term has common factor/divisor e.g 4**

*To factoring algebraic expression above*= 4.3gold bars + 4.2 diamonds

write 4 in front of the bracket

= 4 ( 3gold bars + 2 diamonds)

So, the largest possible numbers of boxes is 4, will put inside it equally.

**Other Example**

**Example 1:****of 15a + 10b**

*Factoring algebraic expression*Answer:

**, for each term has common factor/divisor e.g 5**

*To factoring algebraic expression above*= 5.3a + 5.2b

write 5 in front of the bracket

= 5 (3a + 2b)

**Example 2:****of 15ax + 20ay**

*Factoring algebraic expression*Answer:

**, for each term has common factor/divisor e.g 5a**

*To factoring algebraic expression above*= 5a.3x + 5a.4y

write 5a in front of the bracket

= 5a (3x + 4y)

**Example 3:****of 30bz + 21az**

*Factoring algebraic expression*Answer:

**, for each term has common factor/divisor e.g 3z**

*To factoring algebraic expression above*= 3z.10b + 3z.7a

write 3z in front of the bracket

= 3z (10b + 7a)

**Example 4:****of xy + 2y + 10 + 5x**

*Factoring algebraic expression*Answer:

**, for xy + 2y has common factor/divisor e.g y,**

*To factoring algebraic expression above*for 10 + 5x has common factor/divisor e.g 5.

= y.x + y.2 + 5.2 + 5.x

write y and 5 in front of the bracket

= y (x+2) + 5 (2+x)

Now, all terms has common factor e.g (2+x)

write (2+x) in front of the bracket

= (2+x) (y+5)

## 2 comments

How to factoring algebraic expression 4ab - 8bc + 5bm ??? :)

in algebraic expression that you mentioned, for each terms has common factor e.g b

write b in front of the bracket

So , b (4a - 8c + 5m )

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