Question

Produtos Notàveis
a)(3x+1)²
b)(5m+4n)²
c)(6-2x).(6+2x)
d)(m elevado a 4+2/3).(m elevado a 4 - 2/3)
e)(7a-36)²
f)(b²-10)²
g)(x+8)²
h)(x+2)³
i)(x-3y)³
j)(7m²+3)²
k)(a²b+10).(a²b-10)
l)(3x+1).(3x-1)
m)(x+1/3)²
n)(2x-4/5)²

Answer 1

a)(3x+1)² = 9x^2 + 6x + 1

b)(5m+4n)² = 25m^2 + 40mn + 16n^2

c)(6-2x).(6+2x) = 36 - 4x^2

d)(m^4+2/3).(m^4 - 2/3) = m^8 - 4/9

e)(7a-36)² = 49a^2 - 504a + 1296

f)(b²-10)² = b^4 - 20b^2 + 100 

g)(x+8)² = x^2 + 16x + 36

h)(x+2)³ = x^3 + 6x^2 + 12x + 8 

i)(x-3y)³ = x^3 - 9x^2y + 27xy^2 - 27y^3

j)(7m²+3)² = 49m^4 + 42m^2 + 9

k)(a²b+10).(a²b-10) = a^4b^2 - 100

l)(3x+1).(3x-1)= 9x^2 - 1

m)(x+1/3)² = x^2 + 2x/3 + 1/9 

n)(2x-4/5)² = 4x^2 - 16x/5 + 16/25