Question

Qual é a forma fatorada de cada expressão?
a) x10- 100
b) x8y2- b6
c) 0,36 - a4b6

Answer 1

Explicação passo-a-passo:

Fatoração

a) x10- 100

$( {x}^{5} - 10)( {x}^{5} + 10)$

b) x8y2- b6

$({x}^{4} {y}^{3} - {b}^{3} )({x}^{4} {y}^{3} + {b}^{3})$

c) 0,36 - a4b6

$( \frac{3}{5} - {a}^{2} {b}^{3})(\frac{3}{5} + {a}^{2} {b}^{3})$

Answer 2

Oie, Td Bom?!

>>> Resolvendo as expressões.

a)

$x {}^{10} - 100$

$x {}^{2 \: . \: 5} - 10 {}^{2}$

$(x {}^{5} ) {}^{2} - 10 {}^{2}$

$(x {}^{5} - 10) \: . \: (x {}^{5} + 10)$

b)

$x {}^{8} y {}^{2} - b {}^{6}$

$x {}^{2 \: . \: 4} y {}^{2} - b {}^{2 \: . \: 3}$

$(x {}^{4} ) {}^{2} \: . \: y {}^{2} - (b {}^{3} ) {}^{2}$

$(x {}^{4} y) {}^{2} - (b {}^{3} ) {}^{2}$

$(x {}^{4} y - b {}^{3} ) \: . \: (x {}^{4} y + b {}^{3} )$

c)

$0,36 - a {}^{4} b {}^{6}$

$\frac{9}{25} - a {}^{4} b {}^{6}$

$\frac{3 {}^{2} }{5 {}^{2} } - a {}^{2 \: .2} b {}^{2 \: . \: 3}$

$( \frac{3}{5} ) {}^{2} - (a {}^{2} ) {}^{2} \: . \: (b {}^{3} ) {}^{2}$

$( \frac{3}{5} ) {}^{2} - (a {}^{2} b {}^{3} ) {}^{2}$

$( \frac{3}{5} - a {}^{2} b {}^{3} ) \: . \: ( \frac{3}{5} + a {}^{2} b {}^{3} )$

Att. Makaveli1996