Lesson
Notes
Practice Problems
Expand the following
\(\textbf{1)}\) \((a+b)^4\)
The expansion is \(a^4+4a^3 b+6a^2 b^2+4ab^3+b^4\)
\(\textbf{2)}\) \((a+2b)^3\)
The expansion is \(a^3+6a^2 b+12a b^2+8b^3\)
\(\textbf{3)}\) \((3x+y)^5\)
The expansion is \(243x^5+405x^4y+270x^3y^2+90x^2y^3+15xy^4+y^5\)
\(\textbf{4)}\) \((3a-b)^4\)
The expansion is \(81a^4-108a^3b+54a^2b^2-12ab^3+b^4\)
\(\textbf{5)}\) \((x-2y)^5\)
The expansion is \(x^5-10x^4 y+40x^3 y^2-80x^2 y^3+80xy^4-32y^5\)
\(\textbf{6)}\) \((x-y)^6\)
The expansion is \(x^6-6x^5y+15x^4y^2-20x^3y^3+15x^2y^4-6xy^5+y^6\)
\(\textbf{7)}\) Find the \(6th\) term of \((x-2)^{10}\)
The \(6th\) term is \(8064x^5\)
\(\textbf{8)}\) Find the \(5th\) term of \((2x+y)^8\)
The \(5th\) term is \(1120x^4 y^4\)
\(\textbf{9)}\) Find the \(3rd\) term of \((x+3y)^6\)
The \(3rd\) term is \(135x^4 y^2\)
\(\textbf{10)}\) Find the \(5th\) term of \((x-2y)^9\)
The \(5th\) term is \(2016x^5 y^4\)
See Related Pages\(\)
