Question

ultilizando as regras dos produtos notaveis calcule:
a) (2x + 7)²
b) (9x + 10(9x - 1)
c) (a² - xy)²
d) (3y - 5)²
e) (ab + a²)(ab-a²)
f ) (10x² - ab)²

Answer 1

Olá, Sara758!

a) (2x + 7)²

$(2x)^2 + 2.2x.7 + 7^2 = 4x^2 + 28x + 49$

b) (9x + 1) . (9x - 1)

$81x^2 - 9x + 9x - 1 = 81x^2 - 1$

c) (a² - xy)²

$(a^2)^2 - 2.a^2.xy + (xy)^2 = a^4 - 2a^2xy + x^2y^2$

d) (3y - 5)²

$(3y)^2 - 2.3y.5 + 5^2 = 9y^2 - 30y + 25$

e) (ab + a²) . (ab - a²)

$a^2b^2 - a^3b + a^3b - a^4 = a^2b^2 - a^4$

f) (10x² - ab)²

$(10x^2)^2 - 2.10x^2 - ab + (ab)^2 = 100x^4 - 20x^2 - ab + a^2b^2$