Question

Desenvolva os seguintes produtos notáveis:
a) (x – 5y)² =
b) (x – 6)² =
c) (3 – a³)²=
d) (9x – 7)²=

Answer 1

$\large\boxed{\begin{array}{l}\tt a)~\sf (x-5y)^2=(x)^2-2\cdot x\cdot 5y+(5y)^2\\\sf (x-5y)^2=x^2-10xy+25y^2\\\tt b)~\sf (x-6)^2=(x)^2-2\cdot x\cdot 6+(6)^2\\\sf (x-6)^2=x^2-12x+36\\\tt c)~\sf(3-a^3)^2=(3)^2-2\cdot3\cdot a^3+(a^3)^2\\\sf (3-a^3)^2=9-6a^3+a^6\\\tt d)~\sf (9x-7)^2=(9x)^2-2\cdot 9x\cdot 7+(7)^2\\\sf (9x-7)^2=81x^2-126x+49\end{array}}$