Question

Simplify 3n(4n^2+5n)​

Answer 1

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)

Answer 2

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

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• Answer:
  `\boxed{\bold{12n^3+15n^2}}`

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Explanation:
`\downarrow\downarrow\downarrow`

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

`\bold{3n\cdot \:4n^2+3n\cdot \:5n}`

`\bold{3\cdot \:4n^2n+3\cdot \:5nn}`

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

`\bold{12n^3+15n^2}`

• [ Step Three ] Rewrite Equation

`\bold{12n^3+15n^2}`

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`\bold{\rightarrow Mordancy \leftarrow}`