Verified Answer :

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Answer:

The required expression is 7n²+89n+60

Step-by-step explanation

To get the expression, we will multiply the two linear expression by opening the bracket to give a quadratic equation.

(n + 12) x (5+7n)

We will use the variable and the constant of n + 12 to multiply that of 5+7n to give;

(n + 12)(5+7n) = 5n + 7n² + 60 + 84n

Rearranging the equation gotten we will have;

7n²+84n+5n+60

= 7n²+89n+60 which is the required quadratic expression.

The equivalent expression to the given expression is \(\rm 12n+60\)

Given

The expression is;

\(\rm (n + 12) \times 5+7n\)

To determine the equivalent expression following all the steps given below.

  • Step1; Multiply the first term by 5.

                   \(\rm= (n + 12) \times 5+7n\\\\=n\times 5+ 12\times 5+7n\\\\= 5n+60+7n\)

  • Step2; Adding like terms.

                   \(\rm =5n+60+7n\\\\=5n+7n+60\\\\=12n +60\)

Hence, the equivalent expression to the given expression is \(\rm 12n+60\).

To know more about Expression click the link given below.

https://brainly.com/question/16910560

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