Problem

10 For all real values of \( x \), if \( f(x)=(x-3)^{2} \) and \( g(x)=(x+3)^{2} \), what is \( f(x)-g(x) \) ?
(1) -18
(2) 0
(3) \( -12 x \)
(4) \( 2 x^{2}-12 x-18 \)

Answer

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Answer

\( f(x) - g(x) = (x-3)^{2} - (x+3)^{2} \)

Steps

Step 1 ：\( f(x) = (x-3)^{2} \)

Step 2 ：\( g(x) = (x+3)^{2} \)

Step 3 ：\( f(x) - g(x) = (x-3)^{2} - (x+3)^{2} \)

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