Step-by-step explanation:
❁ [tex] \underline{ \underline{ \large{\tt{T \: O \: \: F \: A \: C \: T \: O \: R \: I\: Z \: E \: }}}} : [/tex]
- [tex] \large{ \tt{ {x}^{2} + 6x + 8}}[/tex]
❁ [tex] \underline{ \underline{ \large { \tt{S \: O \: L \: U \: T \: I \: O \: N}} }} : [/tex]
Firstly find two numbers which when multiplied results to 8 and when added,it results to 6. The two numbers must be 4 and 2.
⟶ [tex] \large{ \tt{ {x}^{2} + (4 + 2)x + 8}}[/tex]
⟶ [tex] \large{ \tt{ \underbrace{{x}^{2} + 4x} + \underbrace{2x + 8}}}[/tex]
Now, Take common from first two terms :
⟶ [tex] \large {\tt{x(x + 4) + 2x + 8}}[/tex]
Take common from last two terms :
⟶ [tex] \large{ \tt{x(x + 4) + 2(x + 4)}}[/tex]
⟶ [tex] \large{ \tt{(x + 4)(x + 2)}}[/tex]
⟿ [tex] \boxed{ \boxed{ \underline{ \text{Our \: Final \: Answer : \boxed{ \bold{ \text{(x + 4)(x + 2)}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
✧ [tex] \underline{ \underline{ \mathfrak{Carry \: on \: learning}}} [/tex] !! ✎
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