Question

Aplicando s regra de produtos notaveis, responda:

a) (a-c)²
b) (9-x)²
c) (y-10)²
d) (a+c).(a-c)
e) (4-y).(4+y
f) (x-2).(x-2)
g) (m+n)²
h) (10+a³)²
i) (x+4y)²

Answer 1

a)
$(a-c)^2=a^2-2ac+c^2 \\ b) \\ (9-x)^2=81-18x+x^2 \\ c) \\ (y-10)^2=y^2-20y+100 \\ d) \\ (a+c)(a-c)=a^2-c^2 \\ e) \\ (4-y)(4+y)=16-y^2 \\ f) \\ (x-2)(x+2)=x^2-4 \\ g) \\ (m+n)^2=m^2+2mn+n^2 \\ h) \\ (10+a^3)^2=100+20a^3+a^6$

$i) \\ (x+4y)^2=x^2+8xy+16y^2$