Factorise the following: 2-a-a²
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The answer to the factorisation is, (a+2) (1-a)
Given : The given algebraic expression is, 2-a-a²
To find : The factorisation of the given algebraic expression.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to factorise the given algebraic expression)
Here, we will be using general algebraic method.
So,
= 2-a-a²
= -a²-a+2
= -a²-2a+a+2 [As, -a = -2a+a]
= -a(a+2) + 1(a+2)
= (a+2) (-a+1)
= (a+2) (1-a)
(This cannot be further factorised. That's why, this will be considered as the final result.)
Hence, answer to the factorisation is, (a+2) (1-a)
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