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If a-b=6\ \ a n d\ \ a b=20 , find the v...

If `a-b=6\ \ a n d\ \ a b=20 ,` find the value of `a^3-b^3`

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`a^3-b^3`
`=(a-b)(a^2+b^2+a xx b)`
`=(a-b)((a-b)^2+2ab +a xx b)`
`=6(36 +40 +20)`
`=6 xx 96`
`=576`
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RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
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  2. If a+b=8\ \ a n d\ \ a b=6, find the value of a^3+b^3

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  3. If a-b=6\ \ a n d\ \ a b=20 , find the value of a^3-b^3

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  4. If x=-2\ a n d\ y=1, by using an identity find the value: (4y^2-9x^2)(...

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  7. Find the product: (x+y+2z)(x^2+y^2+4z^2-x y-2yz-2zx)

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  8. Find the product: (2x-y+3z)(4x^2+y^2+9z^2+2x y+3y z-6x z)

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  9. If a+b+c=6\ a n d\ a b+b c+c a=11 , find the value of a^3 + b^3 + c^3 ...

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  10. Evaluate: 30^3+20^3-50^3

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  11. If a+b+c=15\ a n d\ a^2+b^2+c^2=83 , find the value of a^3+b^3+c^3-3a ...

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  13. Without actually calculating the cub: (-12)^3+7^3+5^3

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  14. Without actually calculating the cub: (28)^3+\ (-15)^3+\ (-13)^3

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  15. If x+y+z=1,\ x y+y z+z x=-1\ \ a n d\ x y z=-1, find the value of x^3+...

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  16. 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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  18. Find the product: (4x-3y+2z)\ (16 x^2+9y^2+4z^2+12 x y+6y z-8z x)

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