Question

Help me solve this please

Answer 1

`(m+s)/(s-n)`

Explanation:

`\text{We start by factorising each 4 term expression in pairs by finding common factors:} \\\\\implies \left[(m(r+s)-n(r+s))/(m(r+s)+n(r+s))\right]\cdot\left[(m(m+s)+n(m+s))/(s(m-n)-n(m-n))\right] \\\\\implies \left[((m-n)(r+s))/((m+n)(r+s))\right]\cdot\left[((m+n)(m+s))/((s-n)(m-n))\right] \\\\ \text{We can now cancel all these common factors to leave:} \\\\\implies (m+s)/(s-n) \\\\\text{Which is our final answer.}`