Question

(4m + 5n)² + (5m + 4n)² use the identity and please answer in a proper way ​

Answer 1

Answer:

41m²+80mn+41n²

Step-by-step explanation:

(4m)²+2×4m×5n+(5n)²+(5m)²+2×5m×4n+(4n)²

16m²+40mn+25n²+25m²+40mn+16n²

16m²+25m²+40mn+40mn+25n²+16m²

41m²80mn+41n²

Answer 2

Step-by-step explanation:

(4m + 5n)² + (5m + 4n)²

→ [(4m)²+(5n)²+2•4m•5n]+[(5m)²+(4n)²+2•5m•4n]

→ [16m²+25n²+40mn]+[25m²+16n²+40mn]

→ 16m²+25n²+40mn+25m²+16n²+40mn

→ 16m²+25m²+25n²+16n²+40mn + 40mn

→ 41m²+41n²+80mn

→ 41(m²+n²) + 80mn

IDENTIFY USED :

(a+b)² = a²+b²+2ab