Question

calcule os produtos a segui : a) 5x (x - 3) (x + 4)

B) 3ab (2a + b) (a-b)

C) (a - 1) (a2 - 1) (a + 1)

D) (x + 2) (x + 3) (x + 4)

Answer 1

Vamos lá

A) 

$5x(x-3)(x+4) \\ 5x( x^{2} +4x-3x-12) \\ 5x( x^{2} +x-12) \\ 5 x^{3}+5 x^{2} -60x$→Resultado

B)

$3ab(2a+b)(a-b) \\ 3ab(2 a^{2} -2ab+ba- b^{2} ) \\ 6a ^{3}b-6 a^{2} b^{2} +3 a^{2}b ^{2} -3ab^{3} \\ 6a^{3}b-3a^{2}b^{2}-3ab^{3}$→Resposta

C)

$(a-1)( a^{2} -1)(a+1) \\ (a-1)(a ^{3} +a ^{2} -a-1) \\ a ^{4} +a ^{3}- a ^{2} -a-a ^{3}-a ^{2} +a+1 \\ a ^{4} -2a ^{2} +1$→Resposta

D)
$(x+2)(x+3)(x+4) \\ (x+2) (x^{2} +4x+3x+12) \\ (x+2)( x^{2} +7x+12) \\ x^{3} +7 x^{2} +12x+2 x^{2} +14x+24 \\ x^{3} +9 x^{2} +26x+24$→Resposta