Question

(2x+1/3)powre 2-(x-1/2)power2​

Answer 1

Answer:

Step-by-step explanation:

a² - b² = (a - b)(a + b)

($\frac{2x+1}{3}$)² - ($\frac{x-1}{2}$)² =

($\frac{2x+1}{3}$ - $\frac{x-1}{2}$)($\frac{2x+1}{3}$ + $\frac{x-1}{2}$) =

$\frac{4x+2-3x+3}{6}$ × $\frac{4x+2+3x-3}{6}$ =

$\frac{x+5}{6}$ × $\frac{7x-1}{6}$ = $\frac{(x+5)(7x-1)}{36}$ =

(7x² + 34x - 5) / 36