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Simplify : (15)/(2)xx(4)/(3)[6x^(2)-9x(x...

Simplify : `(15)/(2)xx(4)/(3)[6x^(2)-9x(x-bar(3-2x))]`

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Verified by Experts

The correct Answer is:
`28x^(2) - (57)/(2) x`
`(15)/(2)x-(4)/(3)[6x^(2)-9x(x-bar(3-2x))]`
`(15)/(2)x-(4)/(3)[6x^(2)-9x(x-3+2x)]`
`=(15)/(2)x-(4)/(3)[6x^(2)-27x^(2)+27x]`
`=(15)/(2)x-(4)/(3)[6x^(2)-27x^(2)+27x]`
`=(15)/(2)x-(4)/(3)xx21x^(2)-(4)/(3)xx27x`
`(15)/(2)x+28x^(2)-36x=28x^(2)+(15)/(2)x-36x`
`=28x^(2)+((15)/(2)-36)x=28x^(2)+((15-72)/(2))x`
`28x^(2)-(15)/(2)x`
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PEARSON IIT JEE FOUNDATION-ALGEBRA-SHORT ANSWER TYPE QUESTIONS
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  2. If x=2 and y=3, then find the values of (i) (2x+3y)/(4x-3y) " "(...

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  3. A=2x+3xy+7x^(2),B=3x-2xy-5x^(2) and C=2xy-6x^(2)-3x. Find the value of...

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  4. Find the product of (12x) and (5x-(3)/(2))

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  5. Find the product of (2x+3) and (3x-2)

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  6. What should be added to 2xy-3x^(2)+6 so that the sum is 4x^(2)-7xy+15?

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  7. What should be subtrated from (3)/(2)x-(7)/(2) so that the difference...

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  8. Simplify :(8x^(2)-12x^(3)+6x)/(2x)

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  9. Simplify : 3x-[4x+{2=6(x-bar(2-x))}]

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  10. Simplify : (15)/(2)xx(4)/(3)[6x^(2)-9x(x-bar(3-2x))]

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  11. Solve for x : 3x+7=18x

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  12. Solve x: (x)/(4)=6x-(5)/(4)

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  13. Solve for x: (2x)/(3)+4=(8)/(3)(2x-6)

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  14. Write the following statemens in symbolic form. (i) A number si dou...

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  15. The sum of three consecutive natural numbers is 90. Find the greatest...

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  16. The length of a reactanle is 5 cm more than its bredth. If the perimet...

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  17. The cost of pizza is 2(1)/(2) times the cost of a burger. If the sum o...

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  18. Chintu's pocket money is Rs. 120. He saves one third of his expenditur...

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  19. Rani has some chocolates with her. If she gives (2)/(5) of the chocol...

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  20. Rukku has (3)/(4) of the number of flowers that Satya has. The number ...

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