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Write the following squares of binomials...

Write the following squares of binomials as trinomials:
(i) `((3a)/2-(5b)/4)^2`
(ii) `(a^2b-b c^2)^2`
(iii) `((2a)/(3b)+(2b)/(3a))^2 `
(iv) `(x^2-a y)^2`

Text Solution

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Given:
(i) `((3a)/2 -(5b)/4)^2`
Using identity,`(a-b)^2=(a^2+b^2-2ab)`
`=>(3a/2)^2+(5b/4)^2-2xx3a/2xx5b/4`
`=>(9a^2)/4+(25b^2)/16-15/4ab`
(ii) `(a^2b-b c^2)^2`
Using identity,`(a-b)^2=(a^2+b^2-2ab)`
...
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RD SHARMA-ALGEBRAIC EXPRESSIONS AND IDENTITIES-All Questions
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  4. Find the product of the following binomials; (i)(2x+y)(2x+y) (ii) (...

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  7. Find the product of the following binomials; (i)(x^4+2/(x^2))(x^4-2/...

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  8. Using the formula for squaring a binomial , evaluate the following: ...

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  9. Using the formula for squaring a binomial , evaluate the following: ...

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  17. If x-1/x=3, find the value of x^2+1/(x^2)dot ​

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  18. If x-1/x=3, find the values of x^2+1/(x^2)a n d\ x^4+1/(x^4)dot

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  19. If x^2+1/(x^2)=18 , find the values of x+1/x and x-1/xdot

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  20. If x+y=4 and xy=2, find the values of x^2+y^2

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