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Exercise 1 Expand the following expressions using binomial theorem. (a) (a+ b)3 (b) (3x 4)5 (c) 5x3 y2 4 (d) 2x 1 x 4 2 Expand the following expressions in ascending power of x up to the term x3. (a) (2x+ 3)(x 3)4 (b) (2 x+ x2)6 Hint: You may consider (2 2x6 26
- Binomial Theorem Exercise (part 2)
Binomial Theorem Exercise (part 2) June 2, 2021 1 ...
- Binomial Theorem Exercise (part 2)
De Anza College. Use the Binomial Theorem to do the following problems. Expand (a + b)5 ( a + b) 5. Expand (a − b)6 ( a − b) 6. Expand (x − 2y)5 ( x − 2 y) 5. Expand (2x − 3y)4 ( 2 x − 3 y) 4. Find the third term of (2x − 3y)6 ( 2 x − 3 y) 6. Find the sixth term of (5x + y)8 ( 5 x + y) 8.
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Basic and advanced math exercises on binomial theorem. Use the binomial theorem to find the binomial expansion of the expression at Math-Exercises.com.
Binomial Theorem. Unless otherwise stated, cr denotes the coefficient of the xr term in the expansion of (1 + x)n. Use the binomial theorem to find the exact value of (10.1)5. Use the binomial theorem to evaluate ( 2 + 3. Hence, without using tables, show that ( 2 +. ) +. 4 ( 2 − 3 )4 . ) 4 3 lies between 193 and 194. 3. (a)
Binomial Theorem Exercise (part 2) June 2, 2021 1 Elementary questions Q1) Evaluate 9 0 + 9 1 + 9 2 + 9 3 + :::+ 9 8 + 9 9 Q2) Evaluate 4n 0 + 4n 2 + 4n 4 + 4n 6 + :::+ 4n 4n 2 + 4n 4n and express your answer in terms of n Q3) Evaluate 20 1
The binomial theorem can be expressed in four different but equivalent forms. The expansion of (x + y)n starts with xn, then we decrease the exponent in x by one, meanwhile increase the exponent of y by one, and repeat this until we have yn. The next few terms are therefore xn − 1y, xn − 2y2, etc., which end with yn.
Binomial Theorem Exercises in expanding powers of binomial expressions and finding specific coefficients.
