Question

calcula las sig operaciones con ayuda de la propiedad distributiva

$(6 {x}^{4} y - 3x)(4y + 5z)$
$(6 {x}^{2} - 7y)(5 {x}^{2} + 8y)$
$(6 {y}^{2} z + 7)(9 {y}^{9} + 8)$
$(5x + 7) \times (3x - 2)$
simplifica las siguientes ecuaciones

$14 {m}^{2}n + 7mm$
$14a - 21b + 35$

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Answer 1

Explicación paso a paso:

$</p><p>(6 {x}^{4} y - 3x)(4y + 5z) \\(6 {x}^{4} y - 3x)4y +(6 {x}^{4} y - 3x)5z \\6 {x}^{4}y(4y) -3x(4y) + 6 {x}^{4} y(5z) - 3x(5z) \\ 24 {x}^{4} {y}^{2} - 12xy + 30 {x}^{4} yz - 15xz \\ \\ (6 {x}^{2} - 7y)(5 {x}^{2} + 8y) \\ (6 {x}^{2} - 7y)5 {x}^{2} +(6 {x}^{2} - 7y)8y \\ 6 {x}^{2} (5 {x}^{2}) - 7y(5 {x}^{2}) + 6 {x}^{2} (8y) - 7y(8y) \\ 30 {x}^{4} - 35 {x}^{2} y + 48 {x}^{2} y - 56 {y}^{2} \\ 30 {x}^{4} + 13 {x}^{2}y - 56 {y}^{2} \\ \\ (6 {y}^{2} z + 7)(9 {y}^{9} + 8) \\(6 {y}^{2} z + 7)9 {y}^{9} + (6 {y}^{2} z + 7)8 \\ 6 {y}^{2}z(9 {y}^{9}) + 7(9 {y}^{9} ) + 6 {y}^{2} z(8) + 7(8) \\ 54 {y}^{11} z + 63 {y}^{9} + 48 {y}^{2}z + 56 \\ \\ (5x + 7) \times (3x - 2) \\(5x + 7)3x - (5x + 7)2 \\ 5x(3x) + 7(3x) - 5x(2) - 7(2) \\ 15 {x}^{2} + 21x - 10x - 14 \\ 15 {x}^{2} + 11x - 14$

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$14 {m}^{2}n + 7mn \\ 7m(2 mn + n) \\ \\ 14a - 21b + 35 \\ 7(2a - 3b + 5) \\ \\ 14 {m}^{2}n + 7mm \\ 14 {m}^{2} n + 7 {m}^{2} \\ 7 {m}^{2} (2n + 1)$

Espero sea lo que necesitas.