Question

verify the property ax (b-c) = ax b -axc

a= 4/5 , b= -6/-7 , c= -8/9​

Answer 1

Answer:

the statement is verified below

Step-by-step explanation:

L. H. S

$\frac{4x}{5} ( \frac{ - 6}{ - 7} - \frac{ - 8}{9} ) = \frac{4x}{5}( \frac{6}{7} + \frac{8}{9} )$

$= \frac{4x}{5}( \frac{54 + 56}{63} ) = \frac{4x}{5} \frac{110}{63}$

$= \frac{88x}{63}$

R. H. S

$( \frac{4x}{5} \frac{ - 6}{ - 7} ) - ( \frac{4x}{5} \frac{ - 8}{9} )$

$\frac{24x}{35}- \frac{ - 8x}{45} = \frac{24x}{35} + \frac{ 8x}{45}$

$\frac{1080x + 1120x}{1575} = \frac{2200x}{1575}$

$= \frac{88x}{63}$