Question

simplify  (4m + 5n)2 + (5m + 4n)2​

Answer 1

Answer:

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

$8m + 10n + 10m + 8n$

$18n + 18m$

$18(m + n)$

Answer 2

Answer:

18m + 18n or 18(m+n)

Explanation:

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

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

= (8m + 10n) + (10m + 8n)

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

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

= 18m + 18n or 18(m+n)

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