# Complete the operation. (m + 5)(6m)

## Question:

Complete the operation.

(m + 5)(6m)

## Algebraic Multiplication:

Algebraic multiplication is not very different from the simple multiplication that we know of. If we think of multiplying {eq}5 {/eq} and {eq}2 {/eq} in a different way and write it as {eq}(2+3)\times(2) {/eq} we can expand it as {eq}2(2)+3(2) {/eq} which is {eq}4+6=10 {/eq}. We distribute multiplication over addition to solve it. But for normal numbers we very occasionally need to do this.

In case of unknown numbers represented as variables, the logic remains the same and we can multiply it as ...

{eq}(m+5)(6m)=m(6m)+5(6m) {/eq}

{eq}\therefore~6m^2 +30m {/eq} should be the answer.