Question

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

Answer 1

This can be done using the perfect square formula"

Explanation:

`(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`