Question

Calcule os produtos notáveis:
a) (u+4)²
b) (t-8)²
c) (2a+1)²
d) (3x-4y)²
e) (8x+2y).(8x-2y)
f) (x/2+y/7).(x/2-y/7)

obrigado!!! :)

Answer 1

a)
(u+4)²=u²+2(4u)+4²=u²+8u+16

b)
(t-8)²=t²-2(-8)t+8²=t²-16t+64

c)
(2a+1)²=(2a)²+2(2a)(1)+1²=4a²+4a+1

d)
(3x-4y)²=(3x)²-2(3x)(4y)+(4y)²=9x²-24xy+16y²

e)
(8x+2)(8x-2)=(8x)²-2²=64x²-4

f)

$( \frac{x}{2} + \frac{y}{7} )( \frac{x}{2} - \frac{y}{7} )=( \frac{x}{2} )^2-( \frac{y}{7} )^2= \frac{x^2}{4} - \frac{y^2}{49}$