Question

3. Em seu caderno, calcule
a) (x + 2)2
b) (5x + 3)
c)(2x/3+5)²
d)(x+3/5)²​

Answer 1

Bom dia!!!!!

Resposta:

A) $x^{2} + 4x +4$

B)$25x^{2} + 30x + 9$

C)$\frac{4x^{2} }{9} + \frac{20x}{3} + 25$

D) $x^{2} + \frac{6x}{5} +\frac{9}{25}$

Explicação passo-a-passo:

a) $(x+2)^{2} = x^{2} + 2 . x . 2 + 2^{2} = x^{2} + 4x+ 4$

B) $(5x+3)^{2} = (5x)^{2} + 2.5x.3^{2} = 25x^{2} + 3x + 9$

C)$(\frac{2x}{3} +5 )^{2} = (\frac{2x}{3} )^{2} + 2.\frac{2x}{3}. 5 + 5^{2} = \frac{4x^{2} }{9} + \frac{20x}{3} + 25$

D)$(x+\frac{3}{5}) ^{2} = x^{2} + 2.x.\frac{3}{5} +( \frac{3}{5} )^{2} = x^{2} + \frac{6x}{5} + \frac{9}{25}$