Question

7. Com as letras A , B e C vamos indicar esses polinômios A = x + 2; B = 2x - 5; C = 3x + 4
Agora , calcule
a) A - BC b) B - AC c) C - AB
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Answer 1

Resposta:

a)-6$x^{2}$+8x+22

b) -3$x^{2}$-8x-13

c)-2$x^{2}$+4x+14

Explicação passo a passo:

a) (x+2) - [(2x-5) . (3x+4)] = (x+2) - [6$x^{2}$+8x-15x-20] = (x+2) - (6$x^{2}$-7x-20)=x+2-6$x^{2}$+7x+20 = -6$x^{2}$+8x+22

b)(2x-5) - [(x+2) . ((3x+4)] = (2x-5) - [3$x^{2}$+4x+6x+8] = (2x-5) - (3$x^{2}$+10x+8)=2x-5-3$x^{2}$-10x-8= -3$x^{2}$-8x-13

c)(3x+4) - [(x+2) . (2x-5)] = (3x+4) -[2$x^{2}$-5x+4x-10] = (3x+4) - (2$x^{2}$-x-10)=3x+4-2$x^{2}$+x+10= -2$x^{2}$+4x+14