Expression Evaluation at $p=3$
To find the value of the expression $p^2 - 7p + 12$ when $p = 3$, we substitute $3$ for every instance of $p$. This process is known as evaluating the expression at a specific point.
Calculation Steps
- Substitute $p=3$: Replace $p$ with $3$.
The expression becomes: $(3)^2 - 7(3) + 12$.
- Evaluate Powers: Calculate the term with the exponent.
$3^2 = 9$. The expression is now: $9 - 7(3) + 12$.
- Evaluate Products: Calculate the multiplication term.
$7 \times 3 = 21$. The expression is now: $9 - 21 + 12$.
- Perform Addition/Subtraction: Calculate from left to right.
First, $9 - 21 = -12$. Then, $-12 + 12 = 0$.
Final Answer
The final calculated value of the expression $p^2 - 7p + 12$ at $p = 3$ is $0$.
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Important Questions from Algebric Equations
If m + n = 24, then (m - 16)³ + (n - 8)³ is ____.
For the following equations, what are the values of a and b to have infinitely many solutions?
ax + by = 2
3x - (5 - 2ay) = 6
If m + n = 24, then (m - 16)³ + (n - 8)³ is ____.
For the following equations, what are the values of a and b to have infinitely many solutions?
ax + by = 2
3x - (5 - 2ay) = 6
Simplify the following expression:
\(\frac{(x - y)^3 + (y - z)^3 + (z - x)^3}{(x - y)(y - z)(z - x)}\)
