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Simplify each of the following expressio...

Simplify each of the following expressions: `4s t\ (s-t)-6s^2(t-t^2)-3t^2(2s^2-s)+2s t(s-t)`

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To simplify the expression \( 4st(s-t) - 6s^2(t-t^2) - 3t^2(2s^2-s) + 2st(s-t) \), we will follow these steps: ### Step 1: Expand the expression We will distribute each term in the expression: 1. \( 4st(s-t) = 4s^2t - 4st^2 \) 2. \( -6s^2(t-t^2) = -6s^2t + 6s^2t^2 \) 3. \( -3t^2(2s^2-s) = -6s^2t^2 + 3st^2 \) ...
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RD SHARMA-ALGEBRAIC EXPRESSIONS AND IDENTITIES-All Questions
  1. Simplify each of the expressions: 15 a^2-6a(a-2)+a(3+7a)

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  2. Simplify each of the following expressions: x^2(1-3y^2)+x(x y^2-2x)-3y...

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  3. Simplify each of the following expressions: 4s t\ (s-t)-6s^2(t-t^2)-3t...

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  4. Find the following products: (i)2a^3(3a+5b) (ii) -11 a(3a+2b) (iii...

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  5. Find the following products: (i)(6x)/5(x^3+y^3) (ii)x y(x^3-y^3) ...

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  6. Find the following products: (i) 4/(27)x y z\ (9/2x^2y z-3/4x y z^2) ...

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  7. Find the following products: 7/5x^2y(3/5x y^2+2/5x) 4/3a(a^2+b^2-3...

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  8. Find the product 24 x^2(1-2x) and evaluate its value for x =3.

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  9. Find the product \ 3y(x y+y^2) and find its value for x=4\ a n d\ y=5.

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  10. Multiply -3/2x^2y^2\ by\ (2x-y) and verify the answer for x=1\ and\ ...

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  11. Multiply the monomial by the binomial and find the value of each for...

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  12. Simplify: 2x^2(x^3-x)-3x(x^4+2x)-2(x^4-3x^2)

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  13. Simplify: x^3y(x^2-2x)+2x y(x^3-x^4)

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  14. Simplify: 3a^2+2(a+2)-3a(2a+1)

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  15. Simplify: x(x+4)+3x(2x^2-1)+4x^2+4

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  16. Simplify: a(b-c)-b(c-a)-c(a-b)

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  17. Simplify: a(b-c)+b(c-a)+c(a-b)

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  18. Simplify: 4a b(a-b)-6a^2(b-b^2)-3b^2(2a^2-a)+2a b(b-a)

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  19. Simplify: x^2(x^2+1)-x^3(x+1)-x(x^3-x)

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  20. Simplify: 2a^2+3a(1-2a^3)+a(a+1)

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