Question
Factories:
$a^2- 2a - 3$
$a^2- 2a - 3$
✓
Answer
To factories $a^2- 2a - 3,$ we will find two number p and q such that $p + q = 2$ and $pq = -3$
Now,
$3 + (-1) = 2$ And $3 x (-1) = -3$
Splittiong the middle term $2a$ in the given quadratic $as -a + 3a,$ we get:
$ a^2-2 a-3=a^2-a+3 a-3$
$ =\left(a^2-a\right)+(3 a-3) $
$ =a(a-1)+3(a-1) $
Now,
$3 + (-1) = 2$ And $3 x (-1) = -3$
Splittiong the middle term $2a$ in the given quadratic $as -a + 3a,$ we get:
$ a^2-2 a-3=a^2-a+3 a-3$
$ =\left(a^2-a\right)+(3 a-3) $
$ =a(a-1)+3(a-1) $
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