Question

Simplify 3n(4n^2+5n)​

Answer 1

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)

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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$\bold{\rightarrow Mordancy \leftarrow}$