Question

Subtract 7mn + 2m + 5n from 5mn + 7n + 9m​

Answer 1

Answer:

-2mn+2n+7m

Step-by-step explanation:

According to question

5mn+7n+9m-(7mn+2m+5n)

$multiply - in \: th \: bracket$

5mn+7n+9m-7mn-2m-5n

-2mn+2n+7m

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Answer 2

Answer:The solution will be 7m+2n-2mn

Step-by-step explanation:

We need to subtract 7mn + 2m + 5n from 5mn + 7n + 9m​.

So the second expression should be written first.

i.e,  

5mn+7n+9m-(7mn+2m+5n)

We will first open the brackets, since there is a minus sign before the bracket, all terms will be multiplied by '-' (signs of each term in bracket will change)

Therefore,

5mn+7n+9m-(7mn+2m+5n)

= 5mn+7n+9m-7mn-2m-5n

Now let us separate like terms,

=  5mn-7mn+7n-5n+9m-2m

Coefficients of like terms can be added/subtracted,

Therefore, we get,

5mn-7mn+7n-5n+9m-2m

= (5-7)mn+(7-5)n+(9-2)m

=-2mn+2n+7m

This can be also written as,

7m+2n-2mn