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Expansion of (x+y)^2

Subtract: 3...

Question

Subtract: $3 l (l + 4 m + 5 n)$ from $4 l (10 n + 3 m + 2 l)$

5 l^{2} + 25 l m

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5 l^{2} + 25 l n

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5 l^{2} + 25 l n + 24 l m

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5 l + 25 l n + 24 l m

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Solution

The correct option is C $5 l^{2} + 25 l n$
Subtract $3 l (l - 4 m + 5 n)$ from $4 l (10 n - 3 m + 2 l)$
$= 4 l (10 n - 3 m + 2 l) - 3 l (l - 4 m + 5 n)$
$= (40 l n - 12 l m + 8 l^{2}) - (3 l^{2} - 12 l m + 15 l n)$
$= 40 l n - 12 l m + 8 l^{2} - 3 l^{2} + 12 l m - 15 l n$
$= 25 l n + 5 l^{2}$

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