Question

calcule os produtos notaveis

a) (7+x)²
b) (2x+4)²
c) (x+y)²
d) (x-3)²
e) ( x-4)²
f) (2xy-4)²
g) (8ax-5b³)²
h) (m-4) (m+4)
i) (a-2b) (a+2b)
j) (ab²+c²) (ab²-c²)
k) (2x³+1) ( 2x³-1)​

Answer 1

Explicação passo-a-passo:

a)

(7 + x)² = 7² + 2.7.x + x²

(7 + x)² = 49 + 14x + x²

b)

(2x + 4)² = (2x)² + 2.2x.4 + 4²

(2x + 4)² = 4x² + 16x + 16

c)

(x + y)² = x² + 2.x.y + y²

(x + y)² = x² + 2xy + y²

d)

(x - 3)² = x² - 2.x.3 + 3²

(x - 3)² = x² - 6x + 9

e)

(x - 4)² = x² - 2.x.4 + 4²

(x - 4)² = x² - 8x + 16

f)

(2xy - 4) = (2xy)² - 2.2xy.4 + 4²

(2xy - 4) = 4x²y² - 16xy + 16

g)

(8ax - 5b³)² = (8ax)² - 2.8ax.5b³ + (5b³)²

(8ax + 5b³)² = 64a²x² - 80axb³ + 25b⁶

h)

(m - 4).(m + 4) = m² - 4²

(m - 4).(m + 4) = m² - 16

i)

(a - 2b).(a + 2b) = a² - (2b)²

(a - 2b).(a + 2b) = a² - 4b²

j)

(ab² + c²).(ab² - c²) = (ab²)² - (c²)²

(ab² + c²).(ab² - c²) = a²b⁴ - c⁴

k)

(2k³ + 1).(2k³ - 1) = (2k³)² - 1²

(2k³ + 1).(2k³ - 1) = 4k⁶ - 1