Question

Simplify using identity (4m + 5n)2 + (5m + 4n)2

Answer 1

Answer:

$(4m+5n)2+(5m+4n)2</p><p>Using (a+b)2=a2+2ab+b2 we get,</p><p>=[(4m)2+2(4m)(5n)+(5n)2]+[(5m)2+2(5m)(4n)+(4n)2]</p><p>=16m2+40mn+25n2+25m2+40mn+16n2</p><p>=41m2+80mn+41n2</p><p></p><p></p><p>$

Step-by-step explanation:

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Answer 2

Answer:

1. (4m + 5n)2 + (5m + 4n)2

=2×4m+2×5n + 2×5m+2×4n

=8m+10n + 10m+8n

Collect the like terms

=8m+10m + 8n+10n

=18m+18n

Hope its Right