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Use the binomial theorem to write the expansion: (x + y)3
Use the binomial theorem to write the expansion: ( x + y ) 3 => x 3 + x 2 y + x y 2 + y 3 or x 3 + 3 x 2 y + 3 x y 2 + y 3 or x 3 + 3 x 2 y + 6 x y 2 + y 3 or x 3 + y 3..
Use binomial theorem to write the expansion of (2x + 3y)3
Use binomial theorem to write the expansion of (2 x + 3 y ) 3 => 8 x 3 + 3 6 x 2 y + 5 4 x y 2 + 2 7 y 3 or 8 x 3 + 2 7 3 or x 3 + 1 8 x 2 y + 1 8 x y 2 + y 3 or 8 x 3 + 3 6 x 2 y + 3 6 x y 2 + 2 7 y 3..
Find the sum of the coefficients in the expansion of (x²-x-1)23.
Find the sum of the coefficients in the expansion of ( x ² - x - 1 ) 2 3 . => 2 or 1 or 0 or -1..
What is the 4th term of the binomial expansion of [x2 - y3]6 ?
What is the 4 th term of the binomial expansion of [ x 2 - y 3 ] 6 ? => - 5 4 x 3 y 3 5 or 5 x 3 y 3 5 4 or - 5 x 3 y 3 5 4 or 5 4 x 3 y 3 5..
Find the coefficient of the term x5y6 in the expansion of (x - 2y)11.
Find the coefficient of the term x 5 y 6 in the expansion of ( x - 2 y ) 11 . => 29568 or 29586 or 29865 or 29658..
Example:
Find the greatest term in the expansion of (3 + 2x) 9 when x = ..
Step 1:
The value of index, n implies that there will be n+1 terms in the expansion of (a + b) n..
Middle Terms for Positive Integral Index
Middle Terms for Positive Integral Index - The number of terms in the expansion of (a + b) n depends on the index n. The index n is either even or o..
Uses
It has very low co-efficient of expansion and can withstand sudden changes in temperature. Therefore highly suitable for laboratory ware like flasks, beakers and oven proof cook ware..
Step 2:
Find the general terms T r + 1 in the expansion of (1+x) n..
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