Question

Resolva as expressões:
$\frac{ {a } ^{2} + ay }{ax + ay}$

$\frac{ {b}^{2} + 49}{ {14}^{3} - {98b}^{2} }$

$\frac{ {9x}^{2} + {24x}^{2} + 16 }{ {60}^{4} {b}^{2} + {12x}^{3} {y}^{8} z }$

$\frac{ {m}^{2} {n}^{4} - y }{ {3m}^{2} {h}^{2} + 3 }$

$\frac{ {6x}^{4} {y}^{5} + {36x}^{4} {y}^{7}z }{ {2x}^{3} {y}^{6} + {12x}^{3} {y}^{8} z}$

Answer 1

Resolva as expressões:

\frac{ {a } ^{2} + ay }{ax + ay}  

a² + ay

-----------

ax + ay

a(a + y)

------------  elimina AMBOS (a)

a(x + y)

(a + y)

------------  resposta

(x + y)

\frac{ {b}^{2} + 49}{ {14}^{3} - {98b}^{2} }  

b² + 49

-----------

14³ - 98b²

b² + 49b²

---------------

2744 - 98b²

b² + 49

------------????????????????????????????

-98(b² - 28)

\frac{ {9x}^{2} + {24x}^{2} + 16 }{ {60}^{4} {b}^{2} + {12x}^{3} {y}^{8} z }  

9x² + 24x² + 16

-------------------------

60⁴b² + 12x³y⁸z

33x² + 16

----------------

60⁴b²+ 12x³y⁸z

33x² + 16

-----------------------------

12x³y⁸z + 12.960.00

33x² + 16

---------------------------------

12(x³y⁸z + 1.080.000b²)

\frac{ {m}^{2} {n}^{4} - y }{ {3m}^{2} {h}^{2} + 3 }  

m²n⁴ - y

------------------

3m²h² + 3

m²n⁴ - y

--------------

3(m²h² + 1)

\frac{ {6x}^{4} {y}^{5} + {36x}^{4} {y}^{7}z }{ {2x}^{3} {y}^{6} + {12x}^{3} {y}^{8} z}

6x⁴y⁵ + 36x⁴y⁷z

---------------------------

2x³ y⁶ + 12x³y⁸z

2x³y⁵(3x + 18xy²z)

--------------------------  elimina AMBOS (2x³y⁵)

2x³y⁵(y + 6y³z)

(3x + 18xy²z)

--------------------- resposta

(y + 6y³z)