Question

Add the following terms:-

(i) $m-7mn+6,2m+9mn-4$ and $-11m-8mn-5$

(ii) $a(b-5)$ and $b(5-a)$

(iii) $-m^2+5mn$ and $4m^2-3mn+8$

Answer 1

We have,

$\left(i\right)$ $m-7mn+6,2m+9mn-4$ and $-11m-8mn-5$

$\Rightarrow m-7mn+6+2m+9mn-4-11m-8mn-5$

$\Rightarrow 6-5-4+m+2m-11m-7mn+9mn-8mn$

$\Rightarrow -3-8m-6mn$

$\Rightarrow -(3+8m+6mn)$

$\left(ii\right)$ $a(b-5)$ and $b(5-a)$

$\Rightarrow a(b-5)+b(5-a)$

$\Rightarrow ab-5a+5b-ab$

$\Rightarrow -5(a-b)$

$\left(iii\right)$ $-m^2+5mn$ and $4m^2-3mn+8$

$\Rightarrow -m^2+5mn+4m^2-3mn+8$

$\Rightarrow -m^2+4m^2+5mn-3mn+8$

$\Rightarrow 3m^2+2mn+8$

Hence, this is the answer.