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Factorize : (a^2-b^2)^3+(b^2-c^2)^3+(c^2...

Factorize : `(a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3`

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If `a+b+c=0`, then `a^3+b^3+c^3=3abc`.
`therefore (a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3=3(a^2-b^2)(b^2-c^2)(c^2-a^2)`
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The value of [(a^2-b^2)^3+(b^2-c^2)^3 + (c^2-a^2)^3] div [(a-b)^3+(b-c)^3+(c-a)^3 ] is equal to: (Given a ne b ne c ) [(a^2-b^2)^3+(b^2-c^2)^3 + (c^2-a^2)^3] div [(a-b)^3+(b-c)^3+(c-a)^3 ] का मान बराबर है: ( a ne b ne c दिया)

factorize : (3a+5b)^2-4c^2

factorize : 108a^2-3(b-c)^2

Simplify: ((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3))/((a-b)^(3)+(b-c)^(3)+(c-a)^(3))

Simplify: ((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3))/((a-b)^(3)+(b-c)^(3)+(c-a)^(3))

Simplify : ((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3))/((a-b)^(3)+(b-c)^(3)+(c-a)^(3))

Simplify: ((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3))/((a-b)^(3)+(b-c)^(3)+(c-a)^(3))

Simplify ((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3))/((a-b)^(3)+(b-c)^(3)+(c-a)^(3))

If a^(2)+ b^(2) + c^(2)=0 , then what is ((a^(4)-b^(4))^(3)+(b^(4)-c^(4))^(3)+(c^(4)-a^(4))^(3))/((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3)) equal to?

.Factorise: (2a-b-c)^(3)+(2b-c-a)^(3)+(2c-a-b)^(3)

RD SHARMA-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
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  2. Factorize the following expression : (2x-3y)^3+(...

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  3. Factorize : (a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3

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  4. Factorize : (x-2y)^3+(2y-3z)^3+(3z-x)^3

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  5. Simplify: ((a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3)/((a-b)^3+(b-c)^3+(c-a)...

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  6. Find the value of x^3-8y^3-36 x y-216 , when x=2y+6.

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  7. Factorize the following expression : x^4+x^2+1

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  8. Factorize each of the following expressions: 2p(a-b)+3q(5a-5b)+4r(2a...

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  9. Prove that : (a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)=2(a^3+b^3+c^3-3a...

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  10. Factorize the following expression: 4a^2+12 a b+9b^2-8a-12 b

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  11. Factorisation by grouping the terms: (x^2+3x)^2-5(x^2+3x)-y(x^2+3x)+5y

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  12. Factorize each of the following expressions : 4a^2-9b^2-2a-3b

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  13. Factorize each of the following algebraic expressions : x^8 - y^8 a...

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  14. Factorize: (i) 8x^3+27 y^3+z^3-18 x y z, (ii) a^3-8b^3-64 c^3-24 a...

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  15. Factorize : 64 a^3+125 b^3+240 a^2b+300 a b^2 8/(27)x^3+1+4/3x^2+2x...

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  16. Examples based on the middle term concepts : (i) 4sqrt3 x^2 + 5x - 2sq...

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  17. Factorize : (x^2-4x)(x^2-4x-1)-20

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  18. Factorize : p^3(q-r)^3+q^3(r-p)^3+r^3(p-q)^3

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  19. Factorize : (x-y)^3+(y-z)^3+(z-x)^3

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  20. Factorize : 2sqrt(2)x^3+3sqrt(3)y^3+sqrt(5)(5-3sqrt(6)x y)

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