Respuesta :

isabellapayton2

Answer:

Step-by-step explanation:

3n(4n2+5n)  

Final result :

 3n2 • (4n + 5)

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 3n • (22n2 +  5n)

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  4n2 + 5n  =   n • (4n + 5)  

Multiplying exponential expressions :

3.2    n1 multiplied by n1 = n(1 + 1) = n2

Final result :

 3n2 • (4n + 5)

  • Assignment: [tex]\bold{Simplify \ Equation: \ 3n\left(4n^2+5n\right)}[/tex]

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  • Answer: [tex]\boxed{\bold{12n^3+15n^2}}[/tex]

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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]

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  • [ Step One ] Apply Distributive Property
  • Note: [tex]\bold{Distributive \ Property: \ \:a\left(b+c\right)=ab+ac}[/tex]
  • [tex]\bold{a=3n,\:b=4n^2,\:c=5n}[/tex]

[tex]\bold{3n\cdot \:4n^2+3n\cdot \:5n}[/tex]

[tex]\bold{3\cdot \:4n^2n+3\cdot \:5nn}[/tex]

  • [ Step Two ] Simplify [tex]\bold{3\cdot \:4n^2n+3\cdot \:5nn}[/tex]

[tex]\bold{12n^3+15n^2}[/tex]

  • [ Step Three ] Rewrite Equation

[tex]\bold{12n^3+15n^2}[/tex]

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[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]

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