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Simplify (A + B) (C − D) + (A − B) (C + D) + 2 (Ac + Bd) - Mathematics

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) + 2 (ac + bd)

= ac − ad + bc − bd + ac + ad − bc − bd + 2ac + 2bd

= (ac + ac + 2ac) + (ad − ad) + (bc − bc) + (2bd − bd − bd)

= 4ac

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APPEARS IN

NCERT Class 8 Maths Textbook
Chapter 9 Algebraic Expressions and Identities
Exercise 9.4 | Q 3.4 | Page 148
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