How Do I Factorise These Algebraic Expressions?

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Homework Help Overview

The discussion revolves around the factorization of algebraic expressions, specifically the expressions 18t² - 2 and 3tx - 2sx + 15ty - 10sy. Participants are seeking assistance in understanding the factorization process.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Some participants suggest identifying common factors in the terms of the expressions. Others provide specific steps for factorization, while one participant questions the original poster's willingness to engage with the problem independently.

Discussion Status

There are various approaches being discussed, with some participants offering guidance on how to factor the expressions. However, there is no explicit consensus on the methods, and the original poster is encouraged to attempt the problems themselves.

Contextual Notes

Participants emphasize the importance of the original poster showing their own work before receiving further assistance. There is a mention of the expressions being divisible by certain factors, which is a point of discussion.

roxas
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so can anyone help me with these factorisation questions?

factorise

18t^2 -2

3tx-2sx+15ty-10sy

can anyone please show me the steps thx
 
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Take the first.
Factorize each term on its own. What are the common factors?
 
Is it really THAT difficult for you to do a single, trivial, independent action on your own??

That is the main reason why you suck at maths:
Not that maths is "difficult", not that you are "dumb", but quite simply your reluctance to DO any maths at all in the first place
 
Last edited:
roxas said:
18t^2 -2
Firstly note that there are 2 terms. 18t^2 and -2. These are both divisible by 2, so take a 2 to the front of the brackets and write it like:
2(9t^2 -1)

This will not factorise any further.

roxas said:
3tx-2sx+15ty-10sy
You can write this as x(3t-2s)+5y(3t-2s) by simply taking the x and y terms out of each individual term. Now note that each set of brackets is the same so it can be furthermore factorised to: (3t-2s)(x+5y)
 
PotatoSalad said:
Firstly note that there are 2 terms. 18t^2 and -2. These are both divisible by 2, so take a 2 to the front of the brackets and write it like:
2(9t^2 -1)

This will not factorise any further.
Do you want to bet on that? :wink:
Don't do the homework for OP, by the way, he must show some of his own work first.
 
roxas said:
so can anyone help me with these factorisation questions?

factorise

18t^2 -2

3tx-2sx+15ty-10sy

can anyone please show me the steps thx

let me do the first one for you...

18t2-2 = 2(9t2-1) = 2(3t+1)(3t-1).

see if you can do the other one.
 

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