Expand using identity : $(3 x - 5 y - 2 z) (3 x - 5 y + 2 z)$

9 x^{2} - 30 x y + 20 y^{2} - 4 z^{2}

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9 x^{2} - 30 x y + 15 y^{2} - 4 z^{2}

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9 x^{2} - 30 x y + 12 y^{2} - 4 z^{2}

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9 x^{2} - 30 x y + 25 y^{2} - 4 z^{2}

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Solution

The correct option is D $9 x^{2} - 30 x y + 25 y^{2} - 4 z^{2}$
$(3 x - 5 y - 2 z) (3 x - 5 y + 2 z)$
$= (3 x - 5 y)^{2} - (2 z)^{2}$
Using,
$(a - b)^{2} = a^{2} - 2 a b + b^{2})$
$= [(3 x)^{2} - 2 (3 x) (5 y) + (5 y)^{2}] - (2 z)^{2}$
$= 9 x^{2} - 30 x y + 25 y^{2} - 4 z^{2}$

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Similar questions

{(3 x + 5 y)}^{2} - 30 x y = 9 x^{2} + 25 y^{2}

Factorize: $9 x^{2} + 16 y^{2} + 4 z^{2} - 24 x y + 16 y z - 12 x z$

9 x^{2} + 30 x y +

9 x^{2} - 4 z^{2} - 24 x y + 16 y^{2} + 20 y - 15 x + 10

p (x) = 9 x^{2} + y^{2} + 4 z^{2} + 6 x y - 4 y z - 12 x z

P (x)

x = 1, y = 1, z = 1

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