Use the identity x - a x - b - x 2- a - b x - ab to find the following products-x y z-4x y z-2A- x2 y2 z2-6 x y z-8B- x2 y2 z2-6 x-8C- x2 y2 z2-6 x-8D- x2 y2 z2-6 x y z-8

The correct option is A x^2y^2z^2 6xyz+8(xyz 4)(xyz 2) =(xyz)^2+( 4 2)× xyz+( 4)× ( 2) [Using identity (x+a) (x+b) =x^2+(a+b) x +ab] =x^2y^2z^2 6xyz+8 ...

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Standard IX

Mathematics

Algebraic Identity 1

Use the ident...

Question

Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the following products:
(xyz-4) (xyz-2)

x^{2} y^{2} z^{2} - 6 x y z - 8

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x^{2} y^{2} z^{2} - 6 x y z + 8

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x^{2} y^{2} z^{2} + 6 x + 8

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x^{2} y^{2} z^{2} - 6 x - 8

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Solution

The correct option is B $x^{2} y^{2} z^{2} - 6 x y z + 8$
$(x y z - 4) (x y z - 2)$
$= (x y z)^{2} + (- 4 - 2) \times x y z + (- 4) \times (- 2)$ $[U s i n g i d e n t i t y (x + a) (x + b) = x^{2} + (a + b) x + a b]$
$= x^{2} y^{2} z^{2} - 6 x y z + 8$

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Q. Question 2(vii)
Use the identity

(x + a) (x + b) = x^{2} + (a + b) x + a b

to find the following products:

(x y z - 4) (x y z - 2)

Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the following products:
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HCF of $x^{3} y^{5} z^{3}$ , $x^{2} y^{4} z^{2}$ and $x^{2} y^{2} z^{2}$ is $x^{a} y^{b} z^{c}$ . a+b+c = _______________

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Use the identity (x+a)(x+b)=x2+(a+b)x+ab to find the following products: (xyz-4) (xyz-2)

The correct option is B x2y2z2−6xyz+8(xyz−4)(xyz−2) =(xyz)2+(−4−2)×xyz+(−4)×(−2) [Using identity(x+a)(x+b)=x2+(a+b)x+ab] =x2y2z2−6xyz+8

Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the following products:
(xyz-4) (xyz-2)

The correct option is B $x^{2} y^{2} z^{2} - 6 x y z + 8$
$(x y z - 4) (x y z - 2)$
$= (x y z)^{2} + (- 4 - 2) \times x y z + (- 4) \times (- 2)$ $[U s i n g i d e n t i t y (x + a) (x + b) = x^{2} + (a + b) x + a b]$
$= x^{2} y^{2} z^{2} - 6 x y z + 8$