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(x^(3)-2x^(2)-3)xx(-x)...

`(x^(3)-2x^(2)-3)xx(-x)`

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To solve the expression \((x^3 - 2x^2 - 3)(-x)\), we will follow these steps: ### Step 1: Distribute \(-x\) to each term in the polynomial We will multiply \(-x\) by each term in the polynomial \(x^3 - 2x^2 - 3\). \[ -x \cdot x^3, \quad -x \cdot (-2x^2), \quad -x \cdot (-3) \] ### Step 2: Perform the multiplication Now we will calculate each multiplication: 1. \(-x \cdot x^3 = -x^{3+1} = -x^4\) 2. \(-x \cdot (-2x^2) = 2x^{2+1} = 2x^3\) (Note: Negative times negative gives a positive) 3. \(-x \cdot (-3) = 3x\) (Again, negative times negative gives a positive) ### Step 3: Combine the results Now we combine all the terms we calculated: \[ -x^4 + 2x^3 + 3x \] ### Final Result Thus, the final expression after multiplying \((x^3 - 2x^2 - 3)\) by \(-x\) is: \[ -x^4 + 2x^3 + 3x \] ---
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PEARSON IIT JEE FOUNDATION-POLYNOMIALS, LCM AND HCF OF POLYNOMIALS -TEST YOUR CONCEPTS (SIMPLIFY THE FOLLOWING)
  1. (x^(3)-2x^(2)-3)xx(-x)

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  2. The HCF of (x^2-1)^2,(x+1) and (x^2-1) is

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  3. factorise ax-bx+a^(2)-ab

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  4. The HCF of xy + x^2, xy - x^2 and x^4 - x^2 y^2 is

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  5. simplify(x+11)^(2)

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  6. The HCF and LCM of 36x^(2)y^(3) and 32x^(3)y^(2) are and respectivel...

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  7. (5a+2b)^(3) simplify

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  8. ((x)/(4)+(2y)/(5))^(3) simplify

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  9. The LCM of 27a^(5) and 81a^(10) is 3^(4)a^(10). If the given statement...

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  10. Find the products of the following by using the appropriate identity: ...

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  11. Find the products of the following by using the appropriate identity: ...

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  12. Find the products of the following by using the appropriate identity: ...

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  13. The HCF of 36xy and k is 6, then the least value of k is

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  14. The LCM of (x+a)^(2) and (x^(2)-a^(2)) is .

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  15. Find the following products using the appropriate identity: (x+11)(x...

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  16. Find the following products using the appropriate identity: ((x)/(3)...

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  17. Find the following products using the appropriate identity: (ab+cd)(...

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  18. Find the values of the following by using suitable identity: (55)^(2...

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  19. Find the values of the following by using suitable identity: (26)^(2...

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  20. Find the values of the following by using suitable identity: 105xx95

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