Question

Using suitable identity find the product of (2/3x-5)(2/3x+5)

Answer 1

$\large\bold \red{( \frac{2}{3} x - 5)( \frac{2}{3} x + 5)}$

$\large \bold \green{ = ( \frac{2}{3}x + - 5)( \frac{2}{3} x + 5) }$

$\bold \pink{ = ( \frac{2}{3}x)( \frac{2}{3}x) + ( \frac{2}{3} x)(5) + ( - 5)( \frac{2}{3} x) + ( - 5)(5) }$

$\bold \blue{ = \frac{4}{9} {x}^{2} + \frac{10}{3}x + \frac{ - 10}{3} x - 25 }$

$\bold \purple{ = \frac{4}{9} {x}^{2} - 25}$