Question

2. Using the product of algebraic expressions, find the formulas for (a + b)3 and (a - b)3.​

Answer 1

Answer:

(a+b)(a^2+b^2-ab)=a^3+b^3

Answer 2

Answer:

(a+b)^3 = a^3+b^3+3a^2b + 3ab^2

Step-by-step explanation:

(a+b)^3

((a+b)×a(a+b)+b(a+b))

(a+b)×(a×a+a×b+b×a+b×b)

(a+b)×(a2+ab+ba+b2)

(a+b)×(a2+ab+ab+b2)

(a+b)×(a2+b2+2ab)

a×(a2+b2+2ab)+b×(a2+b2+2ab)

a×a2+a×b2+a×2ab+b×a2+b×2ab+b×b2

a^3+2a^2b+ab^2+ba^2+2ab^2+b^3

a^3+2a^b+ab^2+a^2b+2ab^2+b^3

a^3+b^3+2a^2b+a^2b+a^2b+ab^2+2ab^2

therefore, (a+b)^3= a^3+b^3+3a^2b+3ab^2

similarily do the process for (a-b)^3

hope it helps.....