State whether the following statement is true or false:
$x^{2}-8x+12 = (x-6)(x-2)$
$x^{2}-8x+12 = (x-6)(x-2)$
(A) To verify the statement,we expand the right-hand side:
$(x-6)(x-2) = x(x-2) - 6(x-2)$
$= x^{2} - 2x - 6x + 12$
$= x^{2} - 8x + 12$
Since the expanded form matches the left-hand side,the statement is True.
$(x-6)(x-2) = x(x-2) - 6(x-2)$
$= x^{2} - 2x - 6x + 12$
$= x^{2} - 8x + 12$
Since the expanded form matches the left-hand side,the statement is True.
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