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Expansion of (x+y+z)^2

Simplify : 2...

Question

Simplify : $(2 a + b) (c - 2 d) + (a - b) (2 c + 3 d) + 4 (a c + b d)$

8 a d + a c b - c - b d

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8 a c - a d - b c - b d

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8 c - a d + b c - d

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8 a c + a d - b c d

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Solution

The correct option is B $8 a c - a d - b c - b d$
The value of $(2 a + b) (c - 2 d) + (a - b) (2 c + 3 d) + 4 (a c + b d)$ is
$= 2 a c - 4 a d + b c - 2 b d + 2 a c + 3 a d - 2 b c - 3 b d + 4 a c + 4 b d$
$= 8 a c - a d - b c - b d$

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Factorize $(a^{2} - b^{2}) (c^{2} - d^{2}) - 4 a b c d$

△ A B C, ∠ A

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A B^{2} = B D \cdot B C

A C^{2} = C D \cdot B D

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