Question

MULTIPLICAÇÃO DE POLINÔMIOS ATIVIDADES A) 3x⁶ (2x²- 3x⁴) B) 2xy ( xy - 4x) C) (3x+2) . (6x-6) D) (x² + 3x) . (5x²+2x-8)

Answer 1

Oie, Td Bom?!

a)

$3x {}^{6} \: . \: (2x {}^{2} - 3x {}^{4} )$

$3x {}^{6} \: . \: 2x {}^{2} - 3x {}^{6} \: . \: 3x {}^{4}$

$6x {}^{8} - 9x {}^{10}$

b)

$2xy \: . \: (xy - 4x)$

$2xy \: . \: y - 2xy \: . \: 4x$

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

c)

$(3x + 2) \: . \: (6x - 6)$

$3x \: . \: 6x - 3x \: . \: 6 + 2 \: . \: 6x - 2 \: . \: 6$

$18x {}^{2} - 18x + 12x - 12$

$18x {}^{2} - 6x - 12$

d)

$(x {}^{2} + 3x) \: . \: (5x {}^{2} + 2x - 8)$

$x {}^{2} \: . \: (5x {}^{2} + 2x - 8) + 3x \: . \: (5x {}^{2} + 2x - 8)$

$5x {}^{4} + 2x {}^{3} - 8x {}^{2} + 15x {}^{3} + 6x {}^{2} - 24x$

$5x {}^{4} + 17x {}^{3} - 2x {}^{2} - 24x$

Att. Makaveli1996

Answer 2

a)

$\mathsf{3x^6(2x^2-3x^4)=6x^8-9x^{10}}$

b)

$\mathsf{2xy(xy-4x)=2x^2y^2-8x^2y}$

c)

$\mathsf{(3x+2)(6x-6)=18x^2-18x+12x-12}\\\mathsf{18x^2-6x-12}$

d)

$\mathsf{(x^2+3x)(5x^2+2x-8)=5x^4+2x^3-8x^2+15x^3+6x^2-24x}\\\mathsf{5x^4+17x^3-2x^2-24x}$