How do you expand $(3z - 2)^2$ ?

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Answer 1 · 2017-04-09T22:09:04

See the entire solution process below:

To square a term of the form $(a - b)^2$ use this rule:

$(a - b)^2 = a^2 - 2ab + b^2$

Substitute $3z$ for $a$ and substitute $2$ for $b$ giving:

$(3z - 2)^2 = (3z)^2 - 2(3z * 2) + 2^2 = 9z^2 - 12z + 4$

How do you expand (3z - 2)^2(3z - 2)^2?