Question

2. Escreva o polinômio que representa cada produto. (Multiplicação)

a) (x + 7).(x + 5)

b) (y – 6) . (y + 5)

c) (2 a + b) . (2 x – a)

d) (2x + 1) . (2 a2 – 2 a + 1)

e) (a + x) . (a2 – a x + x2

)

f) (m + n) . (m + n + mn)

Me ajudem pleaseee​

Answer 1

Oie, Td Bom?!

a)

$= (x + 7) \: . \: (x + 5)$

$= x \: . \: x + 5x + 7x + 7 \: . \: 5$

$= x {}^{2} + 12x + 35$

b)

$= (y - 6) \: . \: (y + 5)$

$= y \: . \: y + 5y - 6y - 6 \: . \: 5$

$= y {}^{2} - y - 30$

c)

$= (2a + b) \: . \: (2x - a)$

$= 2a \: . \: 2x - 2a \: . \: a + 2bx - ab$

$= 4ax - 2a {}^{2} + 2bx - ab$

d)

$= (2x + 1) \: . \: (2a {}^{2} - 2a + 1)$

$= 2x \: . \: (2a {}^{2} - 2a + 1) + 1(2a {}^{2} - 2a + 1)$

$= 4a {}^{2} x - 4ax + 2x + 2a {}^{2} - 2a + 1$

e)

$= (a + x) \: . \: (a {}^{2} - ax + x {}^{2} )$

$= a \: . \: (a {}^{2} - ax + x {}^{2} ) + x \: . \: (a {}^{2} - ax + x {}^{2} )$

$= a {}^{3} - a {}^{2} x + ax {}^{2} + a {}^{2} x - ax {}^{2} + x {}^{3}$

$= a {}^{3} + x {}^{3}$

f)

$= (m + n) \: . \: (m + n + mn)$

$= m \: . \: (m + n + mn) + n \: . \: (m + n + mn)$

$= m {}^{2} + mn + m {}^{2} n + mn + n {}^{2} + mn {}^{2}$

$= m {}^{2} + 2mn + m {}^{2} n + n {}^{2} + mn { }^{2}$

Att. Makaveli1996