Question

Verify: a x (b + c) = (a x b) + (a x c).

Where, a = - 5, b = -10, c = 6.​

Answer 1

Step-by-step explanation:

LHS

ax(b+c)

-5x(-10+6)

-5x(-4)

20

RHS

(axb) +(axc)

(-5x-10)+(-5x6)

50-30

20

there fore LHS=RHS

Answer 2

Step-by-step explanation:

To verify:

a × (b + c) = (a × b) + (a × c)

Given,

a = -5 , b = -10 and c = 6

Proof:

LHS = a × (b + c)

= -5 × (-10 + 6)

= -5 × (-4)

= 20

RHS = (a × b) + (a × c)

= (-5 × (-10)) + (-5 × 6)

= 50 + (-30)

= 20

Since,

LHS = RHS

LHS = RHSHence, a × (b + c) = (a × b) + (a × c) (Verified)