Question

Verify distributive property of multiplication over addition for a=−2,b =1 and c =−3​

Answer 1

$\bold{Given}, \: a=-2, b=1, c=-3$

$\small\bold{To \: verify } ,\: \bold{a \times (b + c) = (a \times b) + (a \times c)}$

$\small \bold{Let, \: a \times (b + c) = - 2 \times (1 + ( - 3) = 4}$

$\small \bold{(a \times b )+ (a \times c) = ( - 2 \times 1) + ( - 2 \times ( - 3) = 4}$

From (1) and (2)

a × (b + c) = (a × b) + (a × c)

∴ Distributive property of multiplication over addition is true for the given rational numbers.