Question

Sendo A= x2 - 2ax+ a2 e B= 5x2 + 3ax - 4a2 determine

a) A+B

b) A-B​

Answer 1

Resposta:

$\sf A =x^{2} -2ax +a^{2}$

$\sf B = 5x^{2} + 3ax - 4a^{2}$

a)

$\sf A +B = ( x^2 - 2ax+ a^2) + (5x^2 + 3ax - 4a^2)$

$\sf A +B = x^2 - 2ax+ a^2 + 5x^2 + 3ax - 4a^2$

$\sf A+B = x^{2} +5x^{2} -2ax +3ax +a^{2} - 4a^{2}$

$\boldsymbol{ \sf \displaystyle A +B = 6x^{2} + ax - 3a^{2} }$

b)

$\sf A -B = (x^{2} -2ax +a^{2} ) - (5x^{2} + 3ax - 4a^{2})$

$\sf A -B = x^{2} -2ax +a^{2} - 5x^{2} - 3ax + 4a^{2}$

$\sf A - B = x^{2} - 5x^{2} -2ax -3ax +a^2 + 4a^2$

$\boldsymbol{ \sf \displaystyle A - B = - 4x^{2} - 5ax + 5a^{2} }$

Explicação passo-a-passo: