Match Equivalent Expressions: (a±b)(c±4) Expansions

Question

Join expressions of equal value

  1. (ab)(c4) (a-b)(c-4)

  2. (a+b)(c+4) (a+b)(c+4)

  3. (ab)(c+4) (a-b)(c+4)

  4. (a+b)(c4) (a+b)(c-4)

    a.ac4a+bc4b ac-4a+bc-4b

    b.ac+4abc4b ac+4a-bc-4b

    c.ac4abc+4b ac-4a-bc+4b

    d.ac+4a+bc+4b ac+4a+bc+4b

Video Solution

Step-by-Step Solution

We use all the exercises of the extended distributive property:(a+b)×(c+d)=ac+ad+bc+bd (a+b)\times(c+d)=ac+ad+bc+bd

1.(ab)(c4)=ac4abc+4b (a-b)(c-4)=ac-4a-bc+4b

2.(a+b)(c+4)=ac+4a+bc+4b (a+b)(c+4)=ac+4a+bc+4b

3.(ab)(c+4)=ac+4abc4b (a-b)(c+4)=ac+4a-bc-4b

4.(a+b)(c4)=ac4a+bc4b (a+b)(c-4)=ac-4a+bc-4b

Answer

1-c, 2-d, 3-b, 4-a