Question

Express (x−8) ^2 as a trinomial in standard form.

Answer 1

To express (x−8)² as a trinomial in standard form, multiply the expression by itself and apply the FOIL method.

Step-by-step explanation:

To express (x−8)2 as a trinomial in standard form, we need to expand the binomial. This involves squaring both the terms inside the parentheses and also dealing with the cross-product of the terms. The binomial squared is given by the formula (a−b)2 = a2 − 2ab + b2. Applying this to our expression, we get:

(x−8)2 = x2 − 2(x)(8) + 82

Next, we calculate each term:

• x2 remains x2,
• 2(x)(8) becomes 16x,
• 82 simplifies to 64.

Now, we can combine these to write the trinomial in standard form:

x2 − 16x + 64