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in Algebraic Expressions by (49.3k points)
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Simplify:

(a + b) (a – b) – (a2 + b2)

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Best answer

(a + b) (a – b) – (a2 + b2)

= a (a – b) + b (a – b) – (a2 + b2)

= a2 – ab + ba – b2 – a2 – b2

= a2 – ab + ab – b2 – a2 – b2

= a2 – a2 – ab + ab – b2 – b2

= 0 – 0 – 2b2

= – 2b2

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