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Write down the squares of each of the fo...

Write down the squares of each of the following binomials: `(x+a/2)` (ii) `(5b-1/2)` (iii) `(y+(y^2)/2)`

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To solve the problem of finding the squares of the given binomials, we will use the algebraic identities for the square of a binomial. The two identities we will use are: 1. \( (a + b)^2 = a^2 + 2ab + b^2 \) 2. \( (a - b)^2 = a^2 - 2ab + b^2 \) Now, let's apply these identities step by step to each of the given binomials. ### Part (i): \( (x + \frac{a}{2})^2 \) ...
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RD SHARMA-ALGEBRAIC EXPRESSIONS AND IDENTITIES-All Questions
  1. Simplify: (x^3-2x^2+3x-4)(x-1)-\ (2x-3)(x^2-x+1)

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  2. Evaluate: (2x+3y)^2 (ii) (2x-3y)^2 (2x+3y)2x-3y)dot

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  3. Write down the squares of each of the following binomials: (x+a/2)...

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  4. Find the product of the binomials: (4/3x^2+3\ )(4/3x^2+3)

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  5. Find the product of the following binomials: (2/3x^2+5y^2)\ (2/3x^2+5y...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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