9 into 2 a minus b whole square minus 4 into 2 a minus b whole minus 13
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Given:
9[2a - b]² - 4[2a - b] - 13
To find:
Factorize
Solution:
Let's assume [2a - b] as "x" and find the factors of the given problem.
Therefore, we have
9x² - 4x - 13
= 9x² - (13 - 9)x - 13
= 9x² - 13x + 9x - 13
= x(9x - 13) + 1(9x - 13)
= (9x - 13)(x + 1)
Now, let substitute back x = (2a - b)
= [9(2a - b) - 13] [(2a - b) + 1]
= [ 18a - 9b - 13 ] [ 2a - b + 1 ]
Thus, the final answer is (18a - 9b - 13)(2a - b + 1).
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