Question

Algebraic identities class 8

Answer 1

Few commonly used identities are

        I.   (a + b)2 = a2 + b2 + 2ab

       II.   (a – b)2 = a2 + b2 – 2ab

      III.   (a + b)(a – b) =a2 – b2

      IV.   (x + a)(x + b) = x2 + (a+b)x + ab

I hope it help you

Answer 2

✔ a²-b²= (a+b)(a-b)

✔ (a+b)²= a²+b²+2ab

✔ (a-b)²= a²+b²-2ab

✔ a²+b²= (a-b)²+2ab

✔ (a+b)³= a³+b³+3ab(a+b)

✔ (a-b)³= a³-b³-3ab(a-b)

✔ a³-b³= (a-b)(a²+ab+b²)

✔ a³+b³= (a+b)(a²-ab+b²)

✔ (a+b+c)²= a²+b²+c²+2ab+2bc+2ac

✔ a³+b³+c³-3abc= (a+b+c)(a²+b²+c²-ab-bc-ac)

Hope this helps you......