Question

simplify: (3x+5)² - (3x-5)²​

Answer 1

$\huge\bf\purple{\underline{\mathfrak{Solution}}}$

$➠ \: (3x+5)² - (3x-5)²$

$➠ {9x}^{2} + 25 + 2(3x)(5) - ( {9x}^{2} + 25 - 30x)$

$➠ {9x}^{2} + 25 + 30x - ( {9x}^{2} + 25 - 30x)$

$➠ {9x}^{2} + 25 + 30x - {9x}^{2} - 25 + 30x$

$➠30x + 30x$

$➠60x$

Answer 2

( 3x + 5 ) ² - ( 3x - 5 ) ²

9x² + 30x + 25 - ( 3x - 5 ) ²

9x² + 30x + 25 - ( 9x² - 30x + 25 )

9x² + 30x + 25 - 9x² + 30x - 25

30x + 25 + 30x - 25

60x + 25 - 25

60x