Question

Verify the distributive property: a x (b + c) = a x b + a x c where, a = −3/11 , b = 9/5 , c = 1/5

Answer 1

Distributive property is verified.

Explanation:

Verifying distributive property:

a * (b +c) = a*b + a*c

a = -3/11 ; b = 9/5 ; c = 1/5

LHS = a * (b + c)

First Slove that is inside the parenthesis, (b +c)

`\sf = (-3)/(11)*\left((9)/(5)+(1)/(5)\right)\\\\=(-3)/(11)*(10)/(5)\\\\= (-3)/(11)*2\\\\=(-6)/(11)`

RHS = a * b + a*c

`\sf = (-3)/(11)*(9)/(5) +(-3)/(11)*(1)/(5)\\\\=(-27)/(55)-(3)/(55)\\\\=(-30)/(55)\\\\=(-30 / 5)/(55 / 5)\\\\=(-6)/(11)`

LHs = RHS

Hence, verified