Respuesta :


[tex]{n}^{2} + 30n + 15[/tex]

Answer:

n²+8n+15

Step-by-step explanation:

Given expression is (n+5)(n+3).

We have to expand it.

(n+5)(n+3)

Each of the two terms in first binomial is multiplied by the second binomial.

n(n+3)+5(n+3)

Each of the two terms in first binomial is multiplied by the each term of second binomial.

n(n)+n(3)+5(n)+5(3)

simplify

n²+3n+5n+15

add like terms

n²+n(3+5)+15

n²+n(8)+15

n²+8n+15 which is the answer.


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