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Multiply: -(3a b^2)/5\ by ((2a)/3-b)...

Multiply: `-(3a b^2)/5\ ` by `((2a)/3-b)`

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To solve the multiplication of the expression \(-\frac{3ab^2}{5}\) by \(\left(\frac{2a}{3} - b\right)\), we will follow these steps: ### Step 1: Distribute the first term We will distribute \(-\frac{3ab^2}{5}\) to both terms in the second expression \(\left(\frac{2a}{3} - b\right)\). \[ -\frac{3ab^2}{5} \cdot \frac{2a}{3} - \frac{3ab^2}{5} \cdot b \] ...
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RD SHARMA-ALGEBRAIC EXPRESSIONS AND IDENTITIES-All Questions
  1. Multiply: 2x by (3x+5y)

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  2. Multiply: (7x y+5y) by 3x y

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  3. Multiply: -(3a b^2)/5\ by ((2a)/3-b)

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  4. Find the product of 7/2s^2t\ a n d\ s+tdot Verify the result for s=1/2...

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  5. Multiply: (3x-4/5y^2x)b y1/2x ydot

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  6. Find the following products: (i) 100 x(0. 01 x^4-0. 01 x^2) (ii) 121....

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  7. Determine each of the products and find the value of each for x=2,\...

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  8. Determine each of the products and find the value of each for x=2,\ ...

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  9. Determine each of the products and find the value of each for x=2,\ ...

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  10. Simplify the expressions and evaluate them as directed: (i)

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  11. Add : (i) 5m\ (3-m)a n d\ 6m^2-13 m (ii)4y\ (3y^2+5y-7)a n d\ 2\ (y^...

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  12. Subtract 3p q\ (p-q)from2p q\ (p+q)

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  13. Add: (i)p\ (p-q), q(q-r)and\ r\ (r-p) (ii)2x\ (z-x-y)\ and\ 2y\ (z-y...

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  14. Subtract: 3l\ (l-4m+5n) from 4l(10 n-3m+2l)

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  15. Subtract: 3a\ (a+b+c)-2b(a-b+c)from 4c(-a+b+c)

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  16. Simplify each of the expressions: 15 a^2-6a(a-2)+a(3+7a)

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

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

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

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

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