simplify (11m^2-2mn+8n^2) + (8m^2+4mn-2n^2)

Question

trying to check my daughter's algebra homework...

Answer 1

Really, the parentheses do nothing more than make it confusing. Throw them aside by distributing the middle operator:

 

11m² - 2mn + 8n² + 8m² + 4mn + (-2n²)     <-------- At this stage, you start grouping by variables

 

11m² + 8 m² + 8n² - 2n² - 2mn +4mn   <------- In this format, you can easily carry out the operators

 

19m² + 6n² + 2mn    <-------After combining all like variables into single terms, you have reached the   simplified answer