Question

What are the Standard Algebraic Identities?

Answer 1

Answer:

The source of standard algebraic identities is the Binomial Theorem. The binomial theorem also known as binomial expansion is derived by expanding the powers of binomials or sums total of two terms.

The standard algebraic identities are:  

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

(a – b)2 = a^2 – 2ab + b^2

a^2 – b^2 = (a + b)(a – b)

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

(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca

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

(a – b)^3 = a^3 – b^3 – 3ab (a – b)

a^3 + b^3 + c^3– 3abc = (a + b + c)(a^2 + b^2 + c^2 – ab – bc – ca)

Answer 2

Answer:

The standard algebraic identities are

Step-by-step explanation:

1.)(x+a)(x+b) is equal to x square+(a+b) x +ab.

2.)(a+b+c)square is equal to a square +b square + c square +2 ab+2bc +2ca.

3.)(a+b)cube =(a) cube + (b) cube +3ab (a+b)