Question
Factories:
$a^2+14 a+48$
$a^2+14 a+48$
✓
Answer
To factories $a^2+14 a+48$, we will find two number $p$ and $q$ such that $p+q=14$ and $p q=48$
$8+6=14 \text { And } 8 \times 6=48$
Splittiong the middle term $14 a$ in the given quadratic as $8 a+6 a$, we get:
$a^2+14 a+48=a^2+8 a+6 a+48$
$=(a 2+8 a)+(6 a+48)$
$=a(a+8)+6(a+8)$
$=(a+6)(a+8)$
$8+6=14 \text { And } 8 \times 6=48$
Splittiong the middle term $14 a$ in the given quadratic as $8 a+6 a$, we get:
$a^2+14 a+48=a^2+8 a+6 a+48$
$=(a 2+8 a)+(6 a+48)$
$=a(a+8)+6(a+8)$
$=(a+6)(a+8)$
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