Question

Translate each sentence into an equation.

Three times the difference of two times m and five is equal to eight times m to the second power increased by four.

Short answer

The equation of the given statement is $3\left(2m-5\right)=8m^2+4$.

Step-by-step solution

Step 1. Given information.

We have a sentence ‘’ Three times the difference of two times m and five is equal to eight times m to the second power increased by four.’’.

Translate the given sentence into an equation.

Step 2. Translate equation.

The statement, three times the difference of two times m and five, in algebraic expression can be expressed as.

$3\left(2m-5\right)$

And the statement, eight times m to the second power increased by four, can be expressed as

$8m^2+4$

Step 3. Conclusion.

Now, as per the given statement, both the expression found above are same. So, to get the required equation, just equate both the expressions.

Hence, the equation of the given sentence is:

$3\left(2m-5\right)=8m^2+4$