if p=-8/27 q=3/4 r=-12/15 then verify p×(q-r)=p×q-p×r
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Answered by
34
Hi ,
p = -8/27 , q = 3/4 , r = -12/15
LHS = p ( q - r )
= ( -8/27 ) [ 3/4 - ( -12/15 ) ]
= ( -8/27 ) [ 3/4 + 4/5 ]
= ( -8/27 ) [ ( 15 + 16 )/20 ]
= ( -8/27 ) × ( 31/20 )
= - ( 2 × 31 )/( 27 × 5 )
= - 62/135 ---( 1 )
RHS = pq - pr
= ( -8/27 ) ( 3/4 ) - ( -8/27 ) × (- 12/15 )
= -2/9 - ( 32 / 135 )
= ( - 30 - 32 )/ 135
= -62/135 ---( 2 )
LHS = RHS
I hope this helps you.
: )
p = -8/27 , q = 3/4 , r = -12/15
LHS = p ( q - r )
= ( -8/27 ) [ 3/4 - ( -12/15 ) ]
= ( -8/27 ) [ 3/4 + 4/5 ]
= ( -8/27 ) [ ( 15 + 16 )/20 ]
= ( -8/27 ) × ( 31/20 )
= - ( 2 × 31 )/( 27 × 5 )
= - 62/135 ---( 1 )
RHS = pq - pr
= ( -8/27 ) ( 3/4 ) - ( -8/27 ) × (- 12/15 )
= -2/9 - ( 32 / 135 )
= ( - 30 - 32 )/ 135
= -62/135 ---( 2 )
LHS = RHS
I hope this helps you.
: )
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