Let's analyze the given mathematical equation step-by-step.
The equation is:
[tex]\[ A = \frac{1}{2} \cdot h \cdot (b + c)^b \][/tex]
Here, we have:
- [tex]\( h \)[/tex] which is some constant or variable.
- [tex]\( b \)[/tex] which is another constant or variable.
- [tex]\( c \)[/tex] which is yet another constant or variable.
Now, the expression can be broken down into several parts:
1. Addition of [tex]\( b \)[/tex] and [tex]\( c \)[/tex]:
- First, we add [tex]\( b \)[/tex] and [tex]\( c \)[/tex]. This part of the equation is represented as [tex]\( (b + c) \)[/tex].
2. Exponentiation:
- Next, we raise the sum [tex]\( (b + c) \)[/tex] to the power of [tex]\( b \)[/tex]. This part of the equation is represented as [tex]\( (b + c)^b \)[/tex].
3. Multiplication by [tex]\( h \)[/tex]:
- After computing the exponentiation, we multiply the result by [tex]\( h \)[/tex]. This part of the equation is represented as [tex]\( h \cdot (b + c)^b \)[/tex].
4. Multiplication by [tex]\( \frac{1}{2} \)[/tex]:
- Finally, we multiply the entire product by [tex]\( \frac{1}{2} \)[/tex]. This part of the equation is represented as [tex]\( \frac{1}{2} \cdot h \cdot (b + c)^b \)[/tex].
Combining all these steps together, we obtain the final expression for [tex]\( A \)[/tex]:
[tex]\[ A = 0.5 \cdot h \cdot (b + c)^b \][/tex]
Therefore, the detailed step-by-step solution for the given equation is:
[tex]\[ A = 0.5 \cdot h \cdot (b + c)^b \][/tex]
This result [tex]\( 0.5h(b + c)^b \)[/tex] is the final form of the expression.
