Question

Determine o valor algébrico de P + Q. Sabendo que P = (a+1) (a+2) e Q = (a+1) (a+3).

Answer 1

Resposta:

P = (a+1) (a+2)

( a + 1 ) × ( a + 2 ) =

( a × a ) + ( a × 2 ) + ( a × 1 ) + ( 2× 1 ) =

a^2 + 2a + a + 2 =

a^2 + a + 2

P = a^2 + a + 2

Q = ( a + 1 ) × ( a + 3 )

(( a × a ) + ( a × 3 ) + ( 3 × a ) + ( 3 × 1) =

a^2 + 3a + 3a + 3 =

a^2 + 6a + 3

Q = a^2 + 6a + 3

P + Q

a^2 + a + 2 + a^2 + 6a + 3 =

2a^2 + 7a + 5

P + Q = 2a ^2 + 7a + 5