Question

alguem me ajuda ? (3t - 1) ^2 - ( 2t + 1 ) ^2

Answer 1

(3t-1)² - (2t+1)²
produto notavel (a²+2.a.b-b²)  - (a²+2.a.b+b²)

(3t)²-2.3t.1+(1)² - (2t)² +2.2t.10 + (1)²
9t²-6t+1 - (4t² +10t + 1)
organizando
9t²-4t²-6t-10t-1+1
5t²-10t 

Answer 2

= (3t - 1) ^2 - ( 2t + 1 ) ^2

= (3t - 1)² - (2t + 1)²

= (3t)² - 2.1.3t + 1² - [(2t)² + 2.2t.1 + 1²]

= 9t² - 6t + 1 - [ 4t² + 4t + 1]

= 9t² - 6t + 1 - 4t² - 4t - 1

= 9t² - 4t² - 6t - 4t + 1 - 1

= 5t² - 10t