Question

Realiza las siguientes multiplicaciones de monomios y polinomios. Si no saben todo no hay problema háganme lo que puedan

Answer 1

Explicación paso a paso:

Multiplicaciones:

1)

$4 {a}^{2} b {c}^{3} \times 8 {a}^{3} {b}^{6} =$

$(8 \times 4) \times ( {a}^{2} {a}^{3} ) \times (b \: {b}^{6} ) \times {c}^{3}$

$= 32 {a}^{5} {b}^{7} {c}^{3}$

2)

$( - 5 {x}^{5} y) \times ( \frac{3}{10} {y}^{ - 5} {z}^{3} ) \times ( - \frac{1}{6} m {x}^{ - 2} {z}^{3)} =$

$( - 5 \times \frac{3}{10} \times - \frac{1}{6} )( {x}^{5} {x}^{ - 2} )(y \: {y}^{ - 5})( {z}^{3} {z}^{3} )m =$

$\frac{1}{4} ( {x}^{3} {y}^{ - 4} {z}^{6} m)$

3)

$3 {a}^{2} b(7 {a}^{2} + 3a {b}^{2} - 2 {a}^{2} - 4) =$

$21 {a}^{4} b + 9 {a}^{3} {b}^{3} - 6 {a}^{4} b - 12 {a}^{2} b$

4)

$(3 {m}^{2} - 5mn) \times (7 {m}^{2} + 3m(mn - m) - 5{n}^{2} ) =$

$(3 {m}^{2} - 5mn) \times (7 {m}^{2} + 3 {m}^{2}n - 3 {m}^{2} - 5{n}^{2} ) =$

Por parte:

$7 {m}^{2} (3 {m}^{2} - 5mn)$

$3 {m}^{2} n(3 {m}^{2} - 5mn)$

$3 {m}^{2} (5mn - 3 {m}^{2} )$

$5 {n}^{2} (5mn - 3 {m}^{2} )$

$21 {m}^{4} - 35 {m}^{3} n + 9 {m}^{4} n - 15 {m}^{3} {n}^{2} + 15 {m}^{3} n - 9 {m}^{4} + 25m {n}^{3} - 15 {m}^{2} {n}^{2}$