Question

Produtos Notáveis:
Efetue:
(A) (a+b)^3=
(B) (x+4)^3=
(C) (2a+y)^3=
(D) (2x+1)^2=
(E) ( 2x-5)^2=

Answer 1

Resposta:

a) a³+3a²b+3ab²+b³. d) 4x²+4x+1.

b) x³+24x²+64. e) 4x²-20x+25.

c) 8a³+6a²y+6ay²+y³.

Explicação passo-a-passo:

a) (a+b)³=

(a)³+3.(a)².(b)+3.(a).(b)²+(b)³=

a³+3a²b+3ab²+b³

b) (x+4)³=

(x)³+3.(x)².(4)+3.(x).(4)²+(4)³=

x³+12x²+12x²+64=

x³+24x²+64

c) (2a+y)³=

(2a)³+3.(2a)².(y)+3.(2a).(y)²+(y)³=

8a³+6a²y+6ay²+y³

d) (2x+1)²=

(2x)²+2.(2x).(1)+(1)²=

4x²+4x+1

e) (2x-5)²=

(2x)²-2.(2x).(5)+(5)²=

4x²-20x+25