Question

6m²n+5mn-n²,n²+mn-2m²and-3mn+3n²-4m²n​

Answer 1

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Step-by-step explanation:

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Answer 2

Given:

• 6m²n + 5mn - n²
• n² + mn - 2m²
• -3mn + 3n² - 4m²n​

What To Find:

The Sum of the above expressions.

Solution:

(6m²n + 5mn - n²) +  (n² + mn - 2m²) + (-3mn + 3n² - 4m²n​)

Remove the brackets,

⇒ 6m²n + 5mn - n² +  n² + mn - 2m² - 3mn + 3n² - 4m²n​

Rearrange the like terms,

⇒ 6m²n - 4m²n​  - n² +  n² + 3n²  - 2m² - 3mn + 5mn + mn

Solve the first term,

⇒ 2m²n - n² +  n² + 3n²  - 2m² - 3mn + 5mn + mn

Solve the second term,

⇒ 2m²n + 3n² - 2m² - 3mn + 5mn + mn

Leave the third term as it is,

⇒ 2m²n + 3n² - 2m² - 3mn + 5mn + mn

Solve the fourth term,

⇒ 2m²n + 3n² - 2m² - 3mn

∴ So, the sum of the expression is 2m²n + 3n² - 2m² - 3mn.