1) Find the \(7th\) term of \(\left(3x^3+4y\right)^9\).
2) Find the \(26th\) term of \(\left(2a-b\right)^{30}\).
3) Find the term in \(\left(2x+y\right)^{17}\) which contains \(y^4\).
4) Expand \(\left(2x-y\right)^5\).
5) The term \(177,100x^{19}y^6\) is one term in a binomial series when \(\left(x+y\right)\) is raised to a power.
a) What power is \((x+y)\) raised to?
b) How many terms are in this series when it is expanded?
c) Which term is \(177,100x^{19}y^6\)?
d) Using the term from part c, what is the next term in the series?
6) Find the term where the power of \(x\) is twice the power of \(y\) when \(\left(x^2-y^3\right)^{20}\) is expanded and simplified.
7) What is the constant term of \(\left(x+\large\frac{1}{x}\right)^{12}\)?
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2) Find the \(26th\) term of \(\left(2a-b\right)^{30}\).
3) Find the term in \(\left(2x+y\right)^{17}\) which contains \(y^4\).
4) Expand \(\left(2x-y\right)^5\).
5) The term \(177,100x^{19}y^6\) is one term in a binomial series when \(\left(x+y\right)\) is raised to a power.
a) What power is \((x+y)\) raised to?
b) How many terms are in this series when it is expanded?
c) Which term is \(177,100x^{19}y^6\)?
d) Using the term from part c, what is the next term in the series?
6) Find the term where the power of \(x\) is twice the power of \(y\) when \(\left(x^2-y^3\right)^{20}\) is expanded and simplified.
7) What is the constant term of \(\left(x+\large\frac{1}{x}\right)^{12}\)?
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