Question

Use distributive property to rewrite problem so it had only two factors. Then solve (25x9)+(75x9)=

Answer 1

ANSWER

$(25\times9)+(75\times9)=9(25+75)$

$(25\times9)+(75\times9)=9(100)$

$(25\times9)+(75\times9)=900$

EXPLANATION

According to the distributive property,

$(a\times b)+(a\times c)=a(b+c)$

This implies that,

$(25\times9)+(75\times9)=9(25+75)$

$(25\times9)+(75\times9)=9(100)$

The Right Hand Side of the equation now has 2 factors.

We solve now to obtain;

$(25\times9)+(75\times9)=900$