How do you multiply $(ab + bc)(ab + bc)$ ?

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Answer 1 · 2017-03-23T00:57:46

This can be done using the perfect square formula"

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

Substituting $ab$ for $a$ and $bc$ for $b$ gives:

$(ab + bc)(ab + bc) = (ab)^2 + 2abbc + (bc)^2 =$

$a^2b^2 + 2ab^2c + b^2c^2$

How do you multiply (ab + bc)(ab + bc)(ab + bc)(ab + bc)?