Question

$({4m + 5n})^{2} + ( {5m} + 4n)^{2}$
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Answer 1

Step-by-step explanation:

Question:-

( 4m + 5n)² + (5m +4n)² : Evaluate the sum.

Answer:-

$⇒(4m + 5n)² + (5m + 4n)² \\ \\ ⇒(4m + 5n) \times (4m + 5n) + (5m + 4n) \times (5m + 4n) \: [ Using \: (a+b)² = (a + b)×(a + b)] \\ \\ ⇒9mn× 9mn + 9mn× 9mn \\ \\ ⇒81 {m}^{2} {n}^{2} + 81 {m}^{2} {n}^{2} \\ \\ ⇒162 {m}^{2} {n}^{2} \: (Ans)$

{ ɴᴏᴛᴇ : sᴄʀᴏʟʟ ᴛᴏ ᴛʜᴇ ʀɪɢʜᴛ ᴛᴏ ᴠɪᴇᴡ ᴛʜᴇ ғᴜʟʟ ᴀɴsᴡᴇʀ, ᴛʜᴀɴᴋs}

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