(4x 3y 2z)^2 = [(4x 3y) (2z)]^2 = (4x 3y)^2 2(4x 3y) (2z)+4z^2 = 16x^2 = 2 × 4x× 3y+9y^2 2 [ 8xz 6y^2] + 4z^2 = 16x^2 24xy + 9y^2 1 ...

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Quadratic Equations

Expand : 4x...

Question

Expand : $(4 x - 3 y - 2 z)^{2}$ .

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Solution

$(4 x - 3 y - 2 z)^{2} = [(4 x - 3 y) - (2 z)]^{2}$
$= (4 x - 3 y)^{2} - 2 (4 x - 3 y) - (2 z) + 4 z^{2}$
$= 16 x^{2} = 2 \times 4 x \times 3 y + 9 y^{2} - 2 [8 x z - 6 y^{2}] + 4 z^{2}$
$= 16 x^{2} - 24 x y + 9 y^{2} - 16 x z + 12 y z + 4 z^{2}$

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