Factorise:
$x^{2} (a - b) - y^{2} (a - b) + z^{2} (a - b)$

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

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(a - b) (x^{2} - y^{2} - z^{2})

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(a + b) (x^{2} - y^{2} + z^{2})

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(a - b) (x^{2} - y^{2} + z^{2})

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Solution

The correct option is D $(a - b) (x^{2} - y^{2} + z^{2})$
$F a c t o r i z i n g x^{2} (a - b) - y^{2} (a - b) + z^{2} (a - b), w e t a k e (a - b) c o m m o n, = (a - b) (x^{2} - y^{2} + z^{2})$

Suggest Corrections

Similar questions

For the line segment joining the points A(x1, y₁, z₁) and B(x₂, y₂, z₂)

are

a (x^{2} + y^{2} + z^{2}) + 2 l x + 2 m y + 2 n z + p = 0

b (x^{2} + y^{2} + z^{2}) = k^{2}

(k \neq 0)

y^{2} + z^{2} = a y z, z^{2} + x^{2} = b x z, x^{2} + y^{2} = c x y

\frac{y^{2}}{x z} + \frac{x z}{y^{2}}

a, b, c .

Show that the centroid of the triangle with vertices A(x1, y1, z1), B(x2, y2, z2) and C(x3, y3, z3) is
((x1+x2+x3)/3, (y1+y2+y3)/3, (z1+z2+z3)/3).

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