The correct option is A 4x^2 + 36y^2 24xy 16x + 48y + 16 ( 2x+6y+4)^2 nbsp;Using, (a + nbsp;b nbsp;+ nbsp;c)^2 nbsp;= a^2 + b^2 + ...

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Algebraic Identities

Expand -2x+...

Question

Expand $(- 2 x + 6 y + 4)^{2}$

4 x^{2} + 36 y^{2} - 24 x y - 16 x + 48 y + 16

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4 x^{2} + 42 y^{2} - 24 x y - 16 x + 48 y + 16

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4 x^{2} + 82 y^{2} - 24 x y - 16 x + 48 y + 16

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4 x^{2} + 11 y^{2} - 24 x y - 16 x + 48 y + 16

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Solution

The correct option is A $4 x^{2} + 36 y^{2} - 24 x y - 16 x + 48 y + 16$
$(- 2 x + 6 y + 4)^{2}$
Using, $(a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 a b + 2 b c + 2 c a$
$= (- 2 x)^{2} + (6 y)^{2} + (4)^{2} + 2 \times (- 2 x) \times (6 y) + 2 \times (6 y) \times (4) + 2 \times (4) \times (- 2 x)$
$= 4 x^{2} + 36 y^{2} - 24 x y - 16 x + 48 y + 16$

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