Question

Simplify the expressions and find the value of the following when m=-3, n=2.

a) m+5[n–3]+4
b) 19–18m–3n
c) m³–3[4–n²]
d) 5[3m+10]+2n+14​

Answer 1

The simplified expressions with their respective values for m=-3, n=2 are -4 for the first expression, 67 for the second, -27 for the third, and 23 for the fourth.

Step-by-step explanation:

To simplify the given expressions and find their values for m=-3, n=2, we plug in the values and simplify each expression step-by-step.

1. m+5[n–3]+4: Substitute m with -3 and n with 2. This becomes -3+5[2–3]+4 = -3+5[-1]+4 = -3-5+4 = -4.
2. 19–18m–3n: Substitute m with -3 and n with 2. This becomes 19-18(-3)-3(2) = 19+54-6 = 67.
3. m³–3[4–n²]: Substitute m with -3 and n with 2. This becomes (-3)³-3[4-2²] = -27-3[4-4] = -27-3[0] = -27.
4. 5[3m+10]+2n+14: Substitute m with -3 and n with 2. This becomes 5[3(-3)+10]+2(2)+14 = 5[-9+10]+4+14 = 5[1]+18 = 5+18 = 23.