Question

14. Simplify (a + b)(c - d) + (a - b)(c - d) + 2(ac + bd)​

Answer 1

Step by step explanation
Q. (a + b)(c - d) + (a - b)(c - d) + 2(ac + bd)
A = [a(c - d) +b(c - d)] + [a(c - d) -b(c - d) + [(2*a)(2*c) + (2*b)(2*d)]
= ac - ad + bc - bd + ac - ad - bc + bd + 2a2c + 2b2d
= ac + ac - ad - ad + bc - bc - bd + bd + 2a2c + 2b2d
= 2ac - 2ad + 2a2c + 2b2d
= 2(ac - ad + ac + bd)
= 2(2ac - ad + bd)
= 4a2c - ad + bd

This was the answer
Thanks