Factorise the expression: $(x - 2 y + 3 z)^{2}$

x^{2} + y^{2} + 9 z^{2} - 4 x y + 12 y z + 6 z x

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x^{2} + y^{2} + 9 z^{2} - 4 y - 12 y z + 6 z x

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x^{2} + 4 y^{2} + 9 z^{2} - 4 x y - 12 y z + 5 z x

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x^{2} + 4 y^{2} + 9 z^{2} - 4 x y - 12 y z + 6 z x

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Solution

The correct option is D $x^{2} + 4 y^{2} + 9 z^{2} - 4 x y - 12 y z + 6 z x$
$(x - 2 y + 3 z)^{2}$
Using, $(a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 a b + 2 b c + 2 c a$
$= x^{2} + (- 2 y)^{2} + (3 z)^{2} + 2 \times x \times (- 2 y) + 2 \times (- 2 y) \times 3 z + 2 \times 3 z \times x$
$x^{2} + 4 y^{2} + 9 z^{2} - 4 x y - 12 y z + 6 z x$

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Similar questions

(x + 2 y + 3 z)^{2}

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

(x + 2 y + 3 z)^{2}

16 x^{2} + 4 y^{2} + 9 z^{2} + 16 x y + 12 y z + 24 x z

Factorise

9z² - x²+ 4xy - 4y²

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