Find the following products-i 3 x-2 y-2 z9 x2-4 y2-4 z2-6 x y-4 y z-6 z xii 4 x-3 y-2 z16 x2-9 y2-4 z2-12 x y-6 y z-8 z xiii 2 a b-3 b-2 c4 a2-9 b2-4 c2-6 a b-6 b c-4 c aiv 3 x-4 y-5 z9 x2-16 y2-25 z2-12 x y-15 z x-20 y z

In the given problem, we have to find Product of equations (i)Given We shall use the identity nbsp; Hence the product of is (ii) Given We shall use ...

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Byju's Answer

Standard IX

Mathematics

(x±a)(x±b) = x²±(a+b)x+ab.

Find the foll...

Question

Find the following products:

(i) (3x + 2y + 2z) (9x² + 4y² + 4z² − 6xy − 4yz − 6zx)

(ii) (4x − 3y + 2z) (16x² + 9y² + 4z² + 12xy + 6yz − 8zx)

(iii) (2ab − 3b − 2c) (4a² + 9b² +4c² + 6 ab − 6 bc + 4ca)

(iv) (3x − 4y + 5z) (9x² +16y²+ 25z² + 12xy −15zx + 20yz)

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Solution

In the given problem, we have to find Product of equations

(i)Given

We shall use the identity

Hence the product of is

(ii) Given

We shall use the identity

Hence the product of is

(iii) Given

We shall use the identity

Hence the product of is

(iv) Given

We shall use the identity

Hence the product of is

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Similar questions

Q. If

x, y, z

are real and

9 x^{2} + 16 y^{2} + 25 z^{2} - 12 x y - 20 y z - 15 z x = 0,

then

x, y, z

are in

Q. State True or False.

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

= 4 x^{2} + 9 y^{2} + 4 z^{2} - 12 x y + 12 y z - 8 z x

Question 29
Factorise the following:

(i)

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

(ii)

25 x^{2} + 16 y^{2} + 4 z^{2} - 40 x y + 16 y z - 20 x z

(iii)

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

Question 29
Factorise the following:

(i)

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

(ii)

25 x^{2} + 16 y^{2} + 4 z^{2} - 40 x y + 16 y z - 20 x z

(iii)

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

Q. State True or False, if the expansion of the following expression is:

(3 x - 2 y - z)^{2} =

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

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Find the following products: (i) (3x + 2y + 2z) (9x2 + 4y2 + 4z2 − 6xy − 4yz − 6zx) (ii) (4x − 3y + 2z) (16x2 + 9y2 + 4z2 + 12xy + 6yz − 8zx) (iii) (2ab − 3b − 2c) (4a2 + 9b2 +4c2 + 6 ab − 6 bc + 4ca) (iv) (3x − 4y + 5z) (9x2 +16y2 + 25z2 + 12xy −15zx + 20yz)

Find the following products:

(i) (3x + 2y + 2z) (9x² + 4y² + 4z² − 6xy − 4yz − 6zx)

(ii) (4x − 3y + 2z) (16x² + 9y² + 4z² + 12xy + 6yz − 8zx)

(iii) (2ab − 3b − 2c) (4a² + 9b² +4c² + 6 ab − 6 bc + 4ca)

(iv) (3x − 4y + 5z) (9x² +16y²+ 25z² + 12xy −15zx + 20yz)