Question

Calcule usando produtos notáveis:

a) (x + y)²
b) (a + 7)²
c) (3x + 1)²
d)(10y + x)²
e) (a + 3x)²
f) (xy + 5)²
g) (3m2 + 4n)²
h) (xy + p3)²
i) (0,3 + x)²
j) (10x + 0,1)²​

Answer 1

Resposta:

a) (x+y)² = (x+y)(x+y) = x² +2xy +y²

b) (a+7)² = (a+7)(a+7) = a² +14a +49

c) (3x+1)² = (3x+1)(3x+1) = 9x² +6x +1

d) (10y+x)² = (10y+x)(10y+x) = 100y² +20xy +x² 

e) (a+3x)² = (a+3x)(a+3x) = a² +6ax +9x² 

f) (xy+p³)² = (xy+p³)(xy+p³) = x²y² +2xyp³ + p^6

g) (3m²+4n)² = (3m²+4n)(3m²+4n) = 9m^4 +24m²n +16n²

h) (xy+5)² = (xy +5)(xy +5) = x²y² +10xy +25

i) (0,3+x)² = (0,3+x)(0,3+x) = x² +0,6x +0,09 

j) (10x+0,1)² = (10x+0,1)(10x+0,1) = 100x² +2x +0,01

Bons estudos!