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Use identities to simplify $(x + 3)^{2} - (x - 3)^{2}$ .

Class 8Standard IdentitiesAlgebra

A $12 x$
B $6 x$
C18
D $2 x^{2} + 18$

Step-by-Step Solution

(x + 3)^{2} = x^{2} + 6 x + 9

and

(x - 3)^{2} = x^{2} - 6 x + 9

. Subtracting:

6 x - (- 6 x) = 12 x

; the

x^{2}

and 9 cancel.

Answer: A)

12 x

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