Respuesta:
[tex] {a}^{2} - {b}^{2} \\ {(2)}^{2} - {(3)}^{2} = 4 - 9 = - 5 \\ {( \frac{2}{3} )}^{2} - {( \frac{3}{4} )}^{2} = \frac{4}{9} - \frac{9}{16} = \frac{4(4) - 9(6)}{36} = \frac{16 - 54}{36} = \frac{ - 38}{36} = - \frac{19}{18} = - 1 \frac{1}{18} \\ {(8)}^{2} - {(4)}^{2} = 64 - 16 = 48 \\ {( - 2)}^{2} - {( - 1)}^{2} = 4 - 1 = 3[/tex]
[tex](a - b)(a + b) \\ (2 - 3)(2 + 3) = 4 + 6 - 6 - 9 = 4 - 9 = - 5 \\ ( \frac{2}{3} - \frac{3}{4} )( \frac{2}{3} + \frac{3}{4} ) = \frac{4}{9} + \frac{2}{4} - \frac{2}{4} - \frac{9}{16} = \frac{4}{9} - \frac{9}{16} = \frac{4(4) - 9(6)}{36} = \frac{16 - 54}{36} = \frac{ - 38}{36} = - \frac{19}{18} = - 1 \frac{1}{18} \\ (8 - 4)(8 + 4) = 64 + 32 - 32 - 16 = 64 - 16 = 48 \\ ( - 2 - ( - 1))( - 2 + ( - 1)) = ( - 2 + 1)( - 2 - 1) = 4 + 2 - 2 - 1 = 4 - 1 = 3[/tex]
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Respuesta:
[tex] {a}^{2} - {b}^{2} \\ {(2)}^{2} - {(3)}^{2} = 4 - 9 = - 5 \\ {( \frac{2}{3} )}^{2} - {( \frac{3}{4} )}^{2} = \frac{4}{9} - \frac{9}{16} = \frac{4(4) - 9(6)}{36} = \frac{16 - 54}{36} = \frac{ - 38}{36} = - \frac{19}{18} = - 1 \frac{1}{18} \\ {(8)}^{2} - {(4)}^{2} = 64 - 16 = 48 \\ {( - 2)}^{2} - {( - 1)}^{2} = 4 - 1 = 3[/tex]
[tex](a - b)(a + b) \\ (2 - 3)(2 + 3) = 4 + 6 - 6 - 9 = 4 - 9 = - 5 \\ ( \frac{2}{3} - \frac{3}{4} )( \frac{2}{3} + \frac{3}{4} ) = \frac{4}{9} + \frac{2}{4} - \frac{2}{4} - \frac{9}{16} = \frac{4}{9} - \frac{9}{16} = \frac{4(4) - 9(6)}{36} = \frac{16 - 54}{36} = \frac{ - 38}{36} = - \frac{19}{18} = - 1 \frac{1}{18} \\ (8 - 4)(8 + 4) = 64 + 32 - 32 - 16 = 64 - 16 = 48 \\ ( - 2 - ( - 1))( - 2 + ( - 1)) = ( - 2 + 1)( - 2 - 1) = 4 + 2 - 2 - 1 = 4 - 1 = 3[/tex]