Question

For all rational numbers a, b and c, a (b + c) = ab + bc. True or False? Why?

Answer 1

Answer:

Yes the statement is true

Answer 2

The statemet  $a (b + c) = ab + bc$ is false.

Step-by-step explanation:

Given:

a, b and c are rational numbers.

The statemet is $a (b + c) = ab + bc$.

To Find:

It is to be find out that the statemet $a (b + c) = ab + bc$ is true of false and why.

Answer:

The statemet $a (b + c) = ab + bc$.

$LHS = a (b + c)$

Using distributive property of multiplication over addition.

       $= ab+ac$

It means $a (b + c)= ab+ac$.

But given statement is $a (b + c) = ab + bc.$

Thus,the statemet  $a (b + c) = ab + bc$ is false.