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Find the product of the binomials: (1/2x...

Find the product of the binomials: `(1/2x-1/5y)\ (1/2x-1/5y)`

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`(=1/2x-1/5y)(1/2x-1/5y)`
`=(1/2x-1/5y)^2`
Using identity `(a+b)^2=a^2+b^2+2 xx a xx b`
`=(1/2x)^2 + (1/5y)^2 + 2xx1/2x xx 1/5y`
`=1/4x^2 + 1/25y^2 + 1/5xy`
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RD SHARMA-ALGEBRAIC EXPRESSIONS AND IDENTITIES-All Questions
  1. Find the product of the following binomials: (2/3x^2+5y^2)\ (2/3x^2+5y...

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  2. Find the product of the binomials: (6x^2-7y^2)(6x^2-7y^2)

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  3. Find the product of the binomials: (1/2x-1/5y)\ (1/2x-1/5y)

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  4. Find the product of the following binomials: (i) (3/4x+5/6y)(3/4x-5...

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  5. Find the product of the following binomials: (a^2+b^2)(-a^2+b^2) (...

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  6. If x+1/x=4, find the values of x^2+1/(x^2)

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  7. If x+ 1/x=4 then prove that the value of x^4+1/x^4=194

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  8. If x-1/x=9, find the value of x^2+1/(x^2)

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  9. If x-1/x=9, find x+1/xdot

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  10. If x^2+1/(x^2)=27 , find the values of each of the: x+1/x

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  11. If x^2+1/(x^2)=27 , find the values of each of the: x-1/x

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  12. If x+y=12\ a n d\ x y=14 , find the value of x^2+y^2dot

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  13. If 3x+2y=12\ a n d\ x y=6, find the value of 9x^2+4y^2dot

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  14. If 4x^2+y^2=40\ a n d\ x y=6,\ find the value of 2x+ydot

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  15. Find the continued product: (x+2)(x-2)(x^2+4)

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  16. Find the continued product: (2x+3y)(2x-3y)(4x^2+9y^2)

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  17. Find the continued product: (x-1)(x+1)(x^2+1)(x^4+1)

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  18. Find the continued product: (x-1/x)(x+1/x)(x^2+1/(x^2))(x^4+1/(x^4))

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  19. Find the continued product: (x-y/5-1)(x+y/5+1)

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  20. Simplify the products: (\ x^2+x+1)(x^2-x+1)

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