Question

Calcule os quadrados :
a) (5+x)² 
b) (x+1)² 
c) (2x+3y)²
d) (3a+2)²
f) (1/2x+3)²
g)(3/4x+2/5y)²

Answer 1

a) (5+x)² 
(5 +x).(5+x)
25 +5x+5x +x²
25 +10x +x²   organizando
x² +10x +25

b) (x+1)² 
(x+1) .(x+1)
x² +x +x +1
x² +2x +1

c) (2x+3y)²
(2x +3y) . (2x+3y)
4x² +6xy +6xy +9y²
4x² +12xy +9y²


d) (3a+2)²
(3a +2) . (3a +2)
9a² +6a +6a +4
9a² +12a +4

f) (1/2x+3)²
(1/2x +3) . (1/2x +3)
1/4x² + 3/2x +3/2x +9
1/4x² + 6/4x + 9           mmc = 4x
(x + 6 + 54x)4x
(x +54x +6)/4x
(55x + 6)/4x


g)(3/4x+2/5y)²
(3/4x + 2/5y) . (3/4x + 2/5y)
9/16x² + 6/20xy + 6/20xy + 4/25y²
9/16x² +12/40xy + 4/25y²