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Evaluate each of the following using ide...

Evaluate each of the following using identities: `(1. 5 x^2-0. 3 y^2) (1. 5 x^2+0. 3 y^2)`

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`(1.5 x^2-0.3y^2)(1.5x^2+0.3y^2)`
`=(1.5x^2)^2-(0.3y^2)^2`
(since `(a+b)(a-b)=a^2-b^2`)
`=2.25x^4-0.09y^4`
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RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
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  2. Evaluate each of the following using identities: (a^2b-b^2a)^2 (ii)...

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  3. Evaluate each of the following using identities: (1. 5 x^2-0. 3 y^2) ...

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  4. Evaluate each of the following using identities: (i)(399)^2(ii) (0. 98...

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  5. Evaluate each of the following using identities: (i)991 xx 1009 (ii) 1...

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  6. Simplify each of the following: 175 xx 175+2 xx 175 xx 25+25 xx 25

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  7. Simplify each of the following: 322 × 322−2 × 322 × 22+22 × 22

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  8. Simplify each of the following: 0. 76 xx 0. 76+2xx 0. 76 xx 0. 24+0. 2...

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  9. Simplify each of the following: (7. 83 xx 7. 83-1. 17 xx 1. 17)/(6. 66...

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  10. If x+1/x=11 , find the value of x^2+1/(x^2)

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  11. If x-1/x= -1, find the value of x^2+1/(x^2)

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  12. If x+1/x=sqrt(5) , find the values of x^2+1/(x^2) and x^4+1/(x^4)

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  13. If x^2+1/(x^2)=66 , find the value of x-1/x

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  14. If x^2+1/(x^2)=79 , find the value of x+1/x

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  15. If 9x^2+25 y^2=181\ \ a n d\ x y\ =\ -6, find the value of 3x+5y

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  16. If 2x+3y=8 and x y=2 , find the value of 4x^2+9y^2

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  17. If 3x-7y=10 and x y=-1, find the value of 9x^2+49 y^2

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  18. Simplify each of the products: (1/2a-3b)(1/2a+3b)(1/4a^2+9b^2)

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  19. Simplify each of the products: (m+n/7)^3 (m-n/7)

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  20. Simplify each of the products: (x/2-2/5)(2/5-x/2)-x^2+2x

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