SOLUTION: Could you show me step by step this equation: p2 - q2 = (p + q) ( ) thanks

SOLUTION: Could you show me step by step this equation: p2 - q2 = (p + q) ( ) thanks

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Question 273311: Could you show me step by step this equation:
p2 - q2 = (p + q) ( ) thanks
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
p^2 - q^2 = (p+q) * (p-q)

(p+q) * (p-q) = p*(p-q) + q*(p-q) which equals:

p^2 - pq + qp - q^2

since pq is the same as qp, this expression becomes:

p^2 - pq + pq - q^2

The -pq and the +pq cancel out and you are left with:

p^2 - q^2
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