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Divide [tex]4x^2 - 36[/tex] by [tex]x + 3[/tex].

Answer :

[tex] \frac{4 {x}^{2} - 36 }{x + 3} \\ = \frac{4( {x}^{2} - 9)}{x + 3} \\ = \frac{4(x + 3)(x - 3)}{x + 3} \\ = 4(x - 3) \\ = 4x - 12[/tex]

NOTE THE x+3 in the numerator cancels with the x+3 in the denominator.

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