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What must be added to each of the follow...

What must be added to each of the following expressions to make it a whole squares?
`4x^2-12 x+7`
(ii) `4x^2-20 x+20`

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To solve the problem of what must be added to the given expressions to make them perfect squares, we will follow these steps: ### Part (i): Expression `4x^2 - 12x + 7` 1. **Identify the quadratic expression**: The expression is \(4x^2 - 12x + 7\). 2. **Factor out the coefficient of \(x^2\)**: We can factor out 4 from the first two terms: \[ 4(x^2 - 3x) + 7 ...
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RD SHARMA-ALGEBRAIC EXPRESSIONS AND IDENTITIES-All Questions
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  3. Find the values of the following expressions: (i) 16 x^2+24+9 , when...

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  4. If x+1/x=9. find the value of x^4+1/(x^4)dot

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  5. If x+1/x=12 , find the value of x-1/xdot

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  6. If 2x+3y=14 a n d 2x-3y=2, find the value of x y [Hint use (2x+3y)^2-...

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  7. If x^2+y^2=29 a n d x y=2, find the value of (i)x+y (ii) x-y

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  9. Simplify: (i) (x-y)(x+y)x^2+y^2) (x^4+y^4) (ii) (2x-1) (2x+1)(4x^2...

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  11. Show that : (i) (3x+7)^2-84 x=(3x-7)^2 (ii) (9a-5b)^2+180 a b=(9a+...

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  12. Show that : (i) (4p q+3q)^2-(4q p-3q)^2=48 p q^2 (ii) (a-b)(a+b)+(...

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