Question

por favor necesito ayuda con esto​

Answer 1

Explicación paso a paso:

1)

$(7m + 9)(7m - 9) \\ = 49 {m}^{2} - 63m + 63m - 81 \\ = 49 {m}^{2} - 81$

2)

$(a + 2 {b}^{3} )(a - 2 {b}^{3} ) \\ = {a}^{2} - 2a {b}^{3} + 2a {b}^{3} - 4 {b}^{9} \\ = {a}^{2} - 4 {b}^{9}$

3)

$( {g}^{2} - 3g)( {g}^{2} + 3g) \\ = {g}^{4} + 3 {g}^{3} - 3 {g}^{3} - 9 {g}^{2} \\ = {g}^{4} - 9 {g}^{2}$

4)

$(x {y}^{4} + z)(x {y}^{4} - z) \\ = {x}^{2} {y}^{16} - zx {y}^{4} + zx {y}^{4} - {z}^{2} \\ = {x}^{2} {y}^{16} - {z}^{2}$

5)

$( {x}^{3} + 4x)( {x}^{3} - 4x) \\ = {x}^{9} - 4 {x}^{4} + 4 {x}^{4} - 16 {x}^{2} \\ = {x}^{9} - 16 {x}^{2}$

1)

${x}^{4} - 16 \\ = ( {x}^{2} + 4)( {x}^{2} - 4)$

2)

${b}^{2} - 1 \\ = (b + 1)(b - 1)$

3)

${x}^{6} - 121 \\ ( {x}^{3} + 11)( {x}^{3} - 11)$

4)

$- {x}^{2} + 4 \\ = ( - x - 2)(x - 2)$

5)

$4 {x}^{2} - 64 {y}^{4} \\ = (2x + 8 {y}^{2} )(2x - 8 {y}^{2} )$