Question

2a2 - 11a + 12 by a - 4​

Answer 1

Answer:

2a-3

Step-by-step explanation:

$\frac{2a^{2} - 11a +12}{a-4} \\= \frac{2a^{2} - 8a-3a+12}{a-4} \\= \frac{2a(a-4)-3(a-4)}{a-4} \\= \frac{(a-4)(2a-3)}{a-4}\\= 2a-3$

We used Factorisation by splitting the middle term and as one of the factors of the numerator and denominator were same, we cut them and are left with the answer!

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