Question

A=2x²+3 e B=x²+4 determine
a) A²
b) B²
c) (A+B)²
Qual a resposta certa

Answer 1

Resposta:

a)

$\boxed{4x^4 + 12x^2 + 9}$

b)

$\boxed{x^4+8x^2+16}$

c)

$\boxed{9x^4 + 42x^2 + 49}$

Explicação passo-a-passo:

a)

$A^2\\\\(2x^2+3)^2\\\\(2x^2)^2+2.(2x^2).(3) + (3)^2\\\\4x^4 + 12x^2 + 9$

b)

$B^2\\\\(x^2 + 4)^2\\\\(x^2)^2 + 2.(x^2).(4) + (4)^2\\\\x^4+8x^2+16$

c)

$(A + B)^2\\\\(2x^2 + 3+ x^2 + 4)^2\\\\(3x^2+7)^2\\\\(3x^2)^2+2.(3x^2).(7)+(7)^2\\\\9x^4 + 42x^2 + 49$

Bons Estudos :)