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Expand the following using binomial theo...

Expand the following using binomial theorem.
`(4x+5y)^(7)`

Text Solution

Verified by Experts

The correct Answer is:
`sum_(r=0)^(7)""^(7)C_(r )(4x)^(7-r)(5y)^(r )`
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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 1.1 (Level - 1)
  1. Expand the following using binomial theorem. (4x+5y)^(7)

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  2. Expand the following using binomial theorem. ((2)/(3)x+(7)/(4)y)^(5)

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  3. Expand the following using binomial theorem. ((2p)/(5)-(3q)/(7))^(6)

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  4. Write down and simplify 6^("th") term in ((2x)/(3)+(3y)/(2))^(9)

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  5. Write down and simplify 7^("th")" term in"(3x-4y)^(10)

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  6. Write down and simplify 10^("th")" term in "((3p)/(4)-5q)^(14)

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  7. Find the number of terms in the expansion of ((3a)/(4)+(b)/(2))^(9)

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  8. Find the number of terms in the expansion of (3p+4q)^(14)

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  9. Find the number of terms in the expansion of (x+y+z)^(20)

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  10. Find the number of terms in the expansion of (x - 2y + 3z)^10

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  11. Find the number of terms in the expansion of (2x+3y+z)^(7)

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  12. Find the middle term(s) in the expansion of n in N ((1)/(2)x-3y)^(...

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  13. Find the middle term(s) in the expansion of n in N (x sqrt(x) -(2)...

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  14. Find the middle term(s) in the expansion of n in N (p^(2)-2q)^(2n-...

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  15. Find the middle term(s) in the expansion of n in N (a^(3)+(2)/(b))...

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  16. Show that the sum of the coefficients of x^(-6) and x^(-1) in (5x^(2)-...

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  17. Show that the sum of the coefficients of x^(25) and x^(-10) of (x^(4) ...

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  18. Find the numerically greatest term of (3+7x)^(15), x=(4)/(5)

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  19. Find the numerically greatest term of (2x-3y)^(12), x=1, y=(5)/(3)

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  20. Find the numerically greatest term of (5x-6y)^(14), x=(2)/(5), y=(1)...

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