Question

Verify the following
(1) 18 [7+(-3)] = [187] + [18 (-3)
(ii) (-21) (-4) + (-6)]-[(-21) (4)]+[(-21) (-6)​

Answer 1

(i) 18 × [7+(-3)] = [18×7] + [18×(-3)]

18 × (7 - 3) = 126 + (-54)

18 × 4 = 126 - 54

72 = 72

LHS = RHS

Hence Proved

(ii) (-21)×[(-4)+(-6)]=[(21)×(-4)]+[(-21)×(-6)]

L.H.S. R.H.S. (-21)×[(-4)+(-6)] [(-21)×(-4)]+[(-21)× --  

=> (-21)×[-4-6]. --(-6)]  

=> (-21)×(-10). => 84 +126

=> (-21×-10). =>210

=> 210

LHS=RHS

Hence Proved

Answer 2

✏️✏️

(1.)L.H.S=18×[7+(-3)]=18×[7-3]=18×4=72

R.H.S=[18×7]+[18×(-3)]=126+(-54)=72

HENCE,18×[7+(-3)]=[18×7]+[18×(-3)]

✏️✏️

(2)L.H.S=(21)×[(-4)+(-6)]=(21)×[-4-6]=(-21)×[-10]=210

R.H.S=[(-21)×(-4)]+[(-21)×(-6)]=84+126=210

HENCE,(-21)×[(-4)+(-6)]=[(-21)×(-4)]+[(-21)×(-6)]