Question

49x² – 16/25, Factorise the expression.

Answer 1

Heya !!



49X² - 16/25





(7X )² - (4/5)²




We know that,


( A )² - (B )² = ( A + B ) ( A - B )





So,




(7X)² - (4/5)²




( 7X + 4/5 ) ( 7X - 4/5 ).

Answer 2

${(7x)}^{2} - { \frac{(4)}{(5)} }^{2} \\ \\ use \: property \: {a}^{2} - {b}^{2} = (a + b)(a - b) \\ \\ similarly \\ \\ = > (7 x - \frac{4}{5} )(7x + \frac{4}{5} )$