Respuesta :
Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large\tt{ P\: R \: O \: V \: I\: D\: E\: D\: }}} : [/tex]
- Length ( l ) = x - 4
- Width ( w ) = 4x - 2
✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: \: F\: I\: N\: D}}}} : [/tex]
- Area of the rectangle
✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U\: T \: I \: O\: N}}}} : [/tex]
✑ [tex] \boxed{ \text{Area \: of \: a \: rectangle }= \tt{ \: l \times \: w}}[/tex]
~Plug the values :
⟶ [tex] \large{ \tt{(x - 4)(4x - 2)}}[/tex]
~ To multiply a binomial by a binomial , Firstly use the distributive property to multiply each term of the first binomial by each term of second binomial.
⟶ [tex] \large{ \tt{x(4x - 2) - 4(4x - 2)}}[/tex]
⟶ [tex] \large{ \tt{4 {x}^{2} - 2x - 16x + 8}}[/tex]
~Simplify
⟶ [tex] \large{ \tt{4 {x}^{2} - 18x + 8}}[/tex]
⟿[tex] \boxed{ \boxed{ \underline{ \text{Our \: Final \: Answer } : \underline{ \bold{ \tt{4 {x}^{2} - 18x + 8}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
❁ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎
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