Question

desenvolva os produtos notáveis
(a/b+b/a)^2
(X^3Y^2Z^4=2a)^2
(5^x-4^x)^2
(2x+3y) . (2x-3y)
(x-5) . (x-3)
(x+5) . (x-2)
(x+2)^3
(2x-y)^3

Answer 1

a) (a/b+b/a)²=(a/b)²+2(a/b.b/a)+(b/a)²=a²/b²+b²/a²+2
b) x^3.y^2.z^4=(2a)²=4a²
c) (5 ^x -4^x)²= 5^2x - 4^2x
d)(2x+3y).(2x-3y)=4x²-6xy+6xy -9y²=4x²-9y²
e) (x-5)(x-3)=x²-3x-5x+15=x²-8x+15
f)(x+5).(x-2)=x²-2x+5x-10=x+3x-10
g) (x+2)^3=(x+2)².(x+2)=(x²+4x+4).(x+2)=X^3+4x^2+4x+x^2+8x+8=X^3+5x^2+8