Explicación paso a paso:
a)
[tex] {3}^{2} {x}^{2 \times 2} {y}^{2} - {4}^{2} {z}^{2 \times 3} [/tex]
[tex] {3}^{2} ( {x}^{2} ) {}^{2} \times {y}^{2} - {4}^{2} ( {z}^{3} ) {}^{2} [/tex]
[tex](3 {x}^{2} y) ^{2} - (4 {z}^{3} ) {}^{2} [/tex]
[tex](3 {x}^{2} y) {}^{2} (3 {x}^{2} + 4z {}^{3} )[/tex]
2)
x²-3x-10 ó
x -5 x²+2x-5x+10
x 2 x(x+2)-5(x+2)
(x-5)(x+2) (x+2)(x-5)
3)
[tex] \frac{1}{36} \times (9a {}^{6} {b}^{2} - 100 {c}^{10} )[/tex]
[tex] \frac{1}{36} \times (3 {a}^{3} b - 10 {c}^{5} )(3 {a}^{3} b + 10 {c}^{5} )[/tex]
4)
x²+4x-21
x 7
x -3
(x+7(x-3)
5)
m⁸-121n²x⁶
[tex] {m}^{2 \times 4} - {11}^{2} {n}^{2} {x}^{2 \times 3} [/tex]
[tex]( {m}^{4} {)}^{2} - {11}^{2} {n}^{2} ( {x}^{3} {)}^{2} [/tex]
[tex]( {m}^{4} - 11n {x}^{3} )( {m}^{4} + 11n {x}^{3} )[/tex]
6)
x²-12x+32
x -8
x -4
(x-8)(x-4)
7)
x¹⁰y⁴-1
[tex] {x}^{2 \times 5} {y}^{2 \times 2} - {1}^{2} [/tex]
[tex]( {x}^{5} {)}^{2} ( {y}^{2} {)}^{2} - {1}^{2} [/tex]
[tex]( {x}^{5} {y}^{2} {)}^{2} - {1}^{2} [/tex]
[tex]( {x}^{5} {y}^{2} - 1)( {x}^{5} {y}^{2} + 1)[/tex]
8)
x²+x-20
x -4
x 5
(x-4)(x+5)
