Question

Desenvolva os produtos notáveis
a) (a/b + b/a)2
b) (x3y2z4 + 2a)2

c) (2x + 3y) • (2x – 3y)

d) (x – 5) • (x – 3)

e) (x + 5) • (x – 2)

f) (2x – y)3

Answer 1

$a) \frac{2a}{b} + \frac{2b}{a} = \frac{2 a^{2}+2 b^{2} }{ab} \\ \\ b) 2 x^{3} y^{2} z^{4} +4a \\ \\ c) (2x)^{2} - (3y)^{2} = 4x^2 - 9y^2 \\ \\ d)x^2 - 3x -5x+15 = x^2 -8x+15 \\ \\ e)x^2 -2x+5x-10 = x^2 +3x-10 \\ \\ f) (2x-y)^2 * (2x-y) = (4x^2 -4xy+y^2 )*(2x-y) \\ \\ = 8x^3 - 4x^2 y -8x^2 y +4xy^2 +2xy^2 - y^3 \\ \\ =8x^3 -12x^2 y +6xy^2 - y^3$