Directions: Determine if the following equations are identities. Show your work.

1.

Determine whether x^{2} - 24 = (x + 4)(x - 6) - 2x^{ } is an identity.

2.

Determine whether ^{ }n^{2} + 9 = ( n + 3i )( n - 3i )
is an identity, where "i " is the imaginary unit.

3.

Determine whether ^{ } (a^{2} + 3b)(a^{2} - 4b) = a^{4} - 12b^{2 } is an identity.

4.

Determine whether ^{ }m^{2} - m = (m - 5)(m + 4) - 20^{ }
is an identity.

5.

Determine whether
(x + y)(2y + 3) = y(2x + 2y+ 3) + 3x
is an identity.

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