Answer:
The two expressions A and B are equivalent because the value of both expressions is same.
Step-by-step explanation:
Given: Expression A is 5(4+9) and expression B is 29+36.
To find: The reason why expressions A and B are equivalent.
First we solve expression A.
[tex]5(4+9)=5*4+5*9[/tex] (using [tex]a(b+c)=a*b+a*c[/tex])
⇒[tex]5(4+9)=20+45[/tex]
⇒[tex]5(4+9)=65[/tex]
Now we solve expression B.
[tex]29+36=45[/tex]
Clearly, the value of both the expressions is same.
Hence, the expression A is equivalent to expression B.
