Final answer:
The correct answer is -2. It involves substituting m with -3 and n with 2 into the expression and simplifying accordingly.
Step-by-step explanation:
The student is asking to evaluate the mathematical expression: 2m2 - 4(m - 2n)m given the values m = -3 and n = 2. To solve it, you would substitute the given values into the expression and perform the arithmetic operations accordingly:
- Replace m with -3 and n with 2 in the expression.
- Calculate the inner parenthesis first: (m - 2n) becomes (-3 - 4).
- Then multiply by 4m (which is 4*(-3)) and subtract from 2m2.
- Finally, simplify the expression to find the result.
The correct calculation is: 2*(-3)2 - 4*(-3 - 4*(-3)) which simplifies to 2*9 - 4*(-3 + 8) and then to 18 - 4*(5). The final answer is 18 - 20, which equals -2.
The correct answer is option Mathematics and High School.
To evaluate the expression 2m² - 4(m - 2n), we substitute the given values m = -3 and n = 2. Substituting these values, we get:
2(-3)² - 4(-3 - 2(2)) = 2(9) - 4(-3 - 4) = 18 - 4(-7) = 18 + 28 = 46
Therefore, the value of the expression is 46.