(a−4)(a−4)=?
To solve the problem, we will expand the expression (a−4)(a−4) using the square of a difference formula.
This formula states: (x−y)2=x2−2xy+y2.
In our case, x=a and y=4, so we apply the formula:
- First term: x2=a2
- Second term: −2xy=−2⋅a⋅4=−8a
- Third term: y2=42=16
Putting it all together, the expression becomes:
a2−8a+16.
After matching this result with the given choices, we find it corresponds to choice 4.
Therefore, the solution to the problem is a2−8a+16.
a2−8a+16