12y^2-y-1 factorize the following
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Answer:
(3y-1) (4y+1)
Step-by-step explanation:
Q) Factorize 12y²-y-1
Here we can use the factorization method.
The product is -1 * 12 = -12
and Sum is -1
So we need to find factors of 12 that sum up to -1 and while multiplying it gives -12.
The factors of 12 are 1, 2, 3, 4, 6, and 12.
When we take -4 and 3, we get the sum as -1 and the product as -12.
Thus, it is satisfying the statement.
So by using the factorization method,
12y²-y-1
=> 12y² -4y + 3y -1
Now grouping,
=> 4y(3y - 1) + 1(3y - 1)
So therefore after factorization, we get (4y + 1) and (3y - 1)
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