Question

Expand each expression. Use your calculator to check that both forms are equivalent.

Answer 1

The Solution.

we shall expand each of the given expressions:

a.

`\begin{gathered} (x-5)^2 \\ =(x-5)(x-5) \\ =x(x-5)-5(x-5) \\ =x^2-5x-5x+25 \\ =x^2-10x+25 \end{gathered}`

b.

`\begin{gathered} (x-7)^2 \\ =(x-7)(x-7) \\ =x(x-7)-7(x-7) \\ =x^2-7x-7x+49 \\ =x^2-14x+49 \end{gathered}`

c.

`\begin{gathered} (x-2)^2 \\ =(x-2)(x-2) \\ =x(x-2)-2(x-2) \\ =x^2-2x-2x+4 \\ =x^2-4x+4 \end{gathered}`