(x – 4)(x – 4)
x² – 8x + 16
To solve this expression, we will use the FOIL method, which stands for First, Outer, Inner, and Last.
First – Multiply the first term in each set of parentheses. In this case, x*x = x^2.
Outer – Multiply the outer term in each set of parentheses. In this case, x*(-4) = -4x.
Inner – Multiply the inner term in each set of parentheses. In this case, (-4)*x = -4x.
Last – Multiply the last term in each set of parentheses. In this case, (-4)*(-4) = 16.
Now we can put all of these products together to simplify the expression:
x^2 – 4x – 4x + 16
Simplifying it further:
x^2 – 8x + 16
Therefore, (x – 4)(x – 4) is equivalent to x^2 – 8x + 16.
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