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Binomial Expansion

Algebraic Expansion

Expand and write in descending powers of $a$. For example: $\boxed{\phantom{A}}\;a^{\color{red}{4}}+\boxed{\phantom{A}}\; a^{\color{red}{3}}b+\boxed{\phantom{A}}\;a^{\color{red}{2}}b^2+\boxed{\phantom{A}}\;ab^3+\boxed{\phantom{A}}\;b^4$

$\left(a+b\right)^1=$

$\left(a+b\right)^2=$

$\left(a+b\right)^3=$

$\left(a+b\right)^4=$

$a+b$

Do you notice a pattern with the coefficients and the exponents?

Fill in the blanks.

$\left(a+b\right)^5=$

$a$ $\;+\;$ $a$ $b\;+\;$ $a$ $b$ $\;+\;$ $a$ $b$ $\;+\;$ $ab$ $\;+\;$ $b$

Expand and write in descending powers of $a$.

$\left(a+b\right)^6=$

Fill in the blanks.

$\left(a+2\right)^6=$

$a$ $\;+\;$ $a$ $\;+\;$ $a$ $\;+\;$ $a$ $\;+\;$ $a$ $\;+\;$ $a\;+\;$