Problem 46

Question

Find each product. $$(x-4)^{2}$$

Step-by-Step Solution

Verified

Answer

The product is $x^2 - 8x + 16$.

1Step 1: Represent the binomial squared

First of all, express the binomial squared as $(x-4)(x-4)$. This makes it easier to see the multiplication that needs to occur.

2Step 2: Apply FOIL

Now apply the FOIL method. Multiply the First terms ($x*x = x^2$), the Outer terms ($x*-4 = -4x$), the Inner terms ($-4*x = -4x$), and finally the Last terms ($-4*-4 = 16$).

3Step 3: Combine like terms

Combine the terms to get the final answer. The two middle terms ($-4x$ and $-4x$) add up to $-8x$. So, the final answer is $x^2 - 8x + 16$.

Problem 46

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Problem 47

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