SOLUTION: Use the Binomial Theorem to write out and simplify the first four terms in the expansion of the (2a+3b)^7.
Simplifying a term means to remove all parentheses and evaluate binom
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-> SOLUTION: Use the Binomial Theorem to write out and simplify the first four terms in the expansion of the (2a+3b)^7.
Simplifying a term means to remove all parentheses and evaluate binom
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Question 89161This question is from textbook INTERMEDIATE ALGEBRA
: Use the Binomial Theorem to write out and simplify the first four terms in the expansion of the (2a+3b)^7.
Simplifying a term means to remove all parentheses and evaluate binomial coefficients. For example, the 3rd term of (2a+3b)^7 is given below in simplified form.
Third term = (7 over 2)(2a)^5(3b)^2=21*2^5a^5*2^2b^2= 6048a^5b^2 This question is from textbook INTERMEDIATE ALGEBRA
You can put this solution on YOUR website! Use the Binomial Theorem to write out and simplify the first four terms in the expansion of the (2a+3b)^7.
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7C7(2a)^7 + 7C6(2a)^6(3b) + 7C5(2a)^5(3b)^2 + 7C4(2a)^4(3b)^3
= 128a^7 + 7(64a^6)(3b) + 21(32a^5)(9b^2) + 35(16a^4)(27b^3)
= 128a^7 + 1344a^6b + 6048a^5b^2 + 15120a^4b^3
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Cheers,
Stan H.
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