Question

es de cocientes notables, no me jodan por favor


4a² - 16b²/ 2a - 4b
81x² - 100/ 9x - 10
a³ - b³/ a - b
27x³ + 125y³/3x + 5y
64x³ + 27y³/4x + 3y
k⁴ - R⁴/ k81x⁴ - 16y⁴/ 3x - 2y
81x⁴ - 16y⁴/ 3x - 2y
a⁵ + b⁵/a + b
32x⁵ - 243y⁵/2x - 3y

Answer 1

PROBLEMA 1

$\frac{4 {a}^{2} - 16b}{2a - 4b} \\ \frac{2(2 {a}^{2} - 8b) }{2(a - 2b)} \\ \frac{2 {a}^{2} - 8b}{a - 2b}$

PROBLEMA 2

$\frac{81 {x}^{2} - 100 }{9x - 10} \\ \frac{(9x - 10)(9x + 10)}{(9x - 10)} \\ 9x + 10$

PROBLEMA 3

$\frac{ {a}^{3} - {b}^{3} }{a - b} \\ \frac{(a - b)( {a}^{2} + ab + {b}^{2} ) }{(a - b)} \\ {a}^{2} + ab + {b}^{2}$

PROBLEMA 4

$\frac{27 {x}^{3} + 125 {y}^{3} }{3x + 5y} \\ \frac{(3x + 5y)(9 {x}^{2} - 15xy + 25 {y}^{2}) }{(3x + 5y)} \\ 9 {x}^{2} - 15xy + 25 {y}^{2}$

PROBLEMA 5

$\frac{64 {x}^{3} + 27 {y}^{3} }{4x +3y} \\ \frac{(4x + 3y)(16 {x}^{2} - 12xy + 9 {y}^{2} )}{(4x + 3y)} \\ 16 {x}^{2} - 12xy + 9 {y}^{2}$

PROBLEMA 6

$\frac{k {}^{4} - r {}^{4} }{k - r} \\ \frac{( {k}^{2} - {r}^{2})( {k}^{2} + {r}^{2} )}{(k - r)} \\ \frac{(k - r)(k + r)( {k}^{2} + {r}^{2}) }{(k - r)} \\ (k + r)( {k}^{2} + {r}^{2} ) \\ {k}^{3} + k {r}^{2} + {k}^{2} r + {r}^{3}$

PROBLEMA 7

$\frac{81 {x}^{4} - 16 {y}^{4} }{3x - 2y} \\ \frac{(9 {x}^{2} - 4 {y}^{2})(9 {x}^{2} + 4{y}^{2} )}{(3x - 2y)} \\ \frac{(3x - 2y)(3x + 2y)(9 {x}^{2 } + 4 {y}^{2} ) }{(3x - 2y)} \\ (3x + 2y)(9 {x}^{2} + 4 {y}^{2} ) \\ 27 {x}^{3} + 12x {y}^{2} + 18 {x}^{2} y + 8 {y}^{3}$