How Do I Factorise These Algebraic Expressions?

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The discussion focuses on factorizing two algebraic expressions: 18t^2 - 2 and 3tx - 2sx + 15ty - 10sy. For the first expression, it is factored as 2(3t + 1)(3t - 1) after recognizing that both terms are divisible by 2. The second expression can be simplified by factoring out common terms, resulting in (3t - 2s)(x + 5y). Participants emphasize the importance of showing work in math and encourage self-reliance in solving problems. Overall, the conversation highlights the step-by-step process of factorization in algebra.
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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
 
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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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