Question

Subtract 5m²- 4n²+ 6n - 3 from 7m²+ 5m - 4mn + 8n²- 3n




please help me by doing this sum in step by step manner please help​

Answer 1

$\red{\textrm{We have to subtract 5m²- 4n²+ 6n - 3 }}$$\red{\textrm{from 7m²+ 5m - 4mn + 8n²- 3n}}$

Solution :

= 7m² + 5m - 4mn + 8n² - 3n -(5m² - 4n² + 6n - 3)

= 7m² + 8n² + 5m - 4mn - 3n - 5m² + 4n² - 6n + 3

• Collecting like terms at a side

= 7m² - 5m² + 8n² + 4n² + 5m - 4mn - 6n - 3n + 3

= 2m² + 12n² + 5m - 4mn - 9n + 3

= 2m² + 5m - 4mn + 12n² - 9n + 3

= m(2m + 5 - 4n) + 3n(4n - 3) + 3

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