Maharashtra BoardEnglish MediumSTD 8MathsFactorization3 Marks
Question
Factories:
$a^2-2 a-3$
✓
Answer
To factories $a^2-2 a-3$, we will find two number $p$ and $q$ such that $p+q=2$ and $p q=-3$ Now,
$3+(-1)=2 \text { And } 3 \times(-1)=-3$
Splittiong the middle term $2 a$ in the given quadratic as $-a+3 a$, 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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