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IXL Algebra1 - Z.9 Multiply Special Binomials
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There are two special cases for multiplying binomials:
(a + b) (a - b) = a^2 - b^2 Difference of Squares
and (a + b)^2 = a^2 + 2ab + b^2 Perfect Square Trinomial
The big problem is that students try to distribute squares over addition and think that:
(a - b)^2 will give The difference of Squares = a^2 - b^2
This is NOT true!!!!!
(a - b)^2 = a^2 - 2ab + b^2 A perfect square TRINOMIAL.
When you square ANY binomial you ALWAYS get a trinomial with a positive term on the end and a double product in the middle.
(a + b) (a - b) = a^2 - b^2 Difference of Squares
and (a + b)^2 = a^2 + 2ab + b^2 Perfect Square Trinomial
The big problem is that students try to distribute squares over addition and think that:
(a - b)^2 will give The difference of Squares = a^2 - b^2
This is NOT true!!!!!
(a - b)^2 = a^2 - 2ab + b^2 A perfect square TRINOMIAL.
When you square ANY binomial you ALWAYS get a trinomial with a positive term on the end and a double product in the middle.