Question

1 efetue a multiplicação de monômio por polinômios a=5x^4. (2x^2-1);b=-10xy^2. (-3axááy+2y^2);c=-2ay. (+7-3x^2y+2axy)

Answer 1

Oie, Td Bom?!

a)

$= 5x {}^{4} \: . \: (2x {}^{2} - 1)$

$= 5x {}^{4} \: . \: 2x {}^{2} - 5x {}^{4}$

$= 10x {}^{6} - 5x {}^{4}$

b)

$= - 10xy {}^{2} \: . \: ( - 3axaay + 2y {}^{2} )$

$= - 10xy { }^{2} \: . \: ( - 3a {}^{3} xy + 2y {}^{2} )$

$= - 10xy {}^{2} \: . \: ( - 3a {}^{3} xy) - 10xy {}^{2} \: . \: 2y {}^{2}$

$= 30a {}^{3} x {}^{2} y {}^{3} - 20xy {}^{4}$

c)

$= - 2ay \: . \: (7 - 3x {}^{2} y + 2axy)$

$= - 2ay \: . \: 7 - 2ay \: . \: ( - 3x {}^{2} y) - 2ay \: . \: 2axy$

$= - 14ay + 6ax {}^{2} y {}^{2} - 4a {}^{2} xy {}^{2}$

Att. Makaveli1996