Question

Formula for (a+b)(a+c) (a-b)(a-c) (a+b)(a-c)

Answer 1

(A+B)SQUARE. Asq+Bsq+2AB .. (A-B)square. Asq +Bsq -2AB Asq -Bsq. (A+B)(A-B)

Answer 2

Given: (a+b) X (a+c), (a-b) X (a-c), (a+b) X (a-c)

To find: Formulas for the above problems.

Solution:

• To find the formulas for the above sums we need to multiply the to get formula.

• So taking first one,

              (a+b) X (a+c)

• Multiplying it, we get

• a² + ac +ab + bc
• taking common a from ab and ac

        a² + a(b+c) + bc

• For second sum,

         (a-b) X (a-c)

• Multiplying it, we get

• a² - ac - ab + bc
• taking common a from ab and ac

        a² - a(b+c) + bc

• For third sum,

          (a+b) X (a-c)

• Multiplying it, we get

• a² - ac + ab - bc
• taking common a from ab and ac

        a² + a(b - c) -  bc

Answer:

• (a+b) X (a+c) =  a² + a(b+c) + bc

• (a-b) X (a-c) =  a² - a(b+c) + bc

• (a+b) X (a-c) =  a² + a(b - c) -  bc