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Multiplication of Any Polynomial

iv Simplify: ...

Question

Question 3(iv)
Simplify:
(a+b)(c-d)+(a-b)(c+d)+2(ac+bd)

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Solution

(a+b)(c-d)+(a-b)(c+d)+2(ac+bd)
=a(c-d)+b(c-d)+a(c+d)-b(c+d)+2ac+2bd
=ac-ad+bc-bd+ac+ad-bc-bd+2ac+2bd
=ac+ac-ad+ad+bc-bc-bd-bd+2ac+2bd
=4ac

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Multiplication of Any Polynomial

Standard VIII Mathematics

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