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Simplify each of the following: 175 xx 1...

Simplify each of the following: `175 xx 175+2 xx 175 xx 25+25 xx 25`

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To simplify the expression \( 175 \times 175 + 2 \times 175 \times 25 + 25 \times 25 \), we can use the algebraic identity for the square of a binomial. The identity states: \[ (a + b)^2 = a^2 + 2ab + b^2 \] ### Step-by-Step Solution: ...
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RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
  1. Evaluate each of the following using identities: (i)(399)^2(ii) (0. 98...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Simplify each of the products: (x^2+x-2)(x^2-x+2)

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  19. Simplify each of the products: (x^3-3x^2-x)(x^2-3x+1)

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  20. Simplify each of the products: (2x^4-4x^2+1)(2x^4-4x^2-1)

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