Question

verify the algebraic identity (a+b)2=a2+2ab+b2

Answer 1

Concept:

Algebraic equations that are valid for all values of the variables in them are referred to as algebraic identities. They also serve to factorize polynomials. In this way, algebraic identities are used in computing algebraic expressions and resolving different polynomials.

(a+b)²=a²+2ab+b²

a(a+b) + b(a+b)

Given:

the algebraic identity (a+b)²=a²+2ab+b²

Find:

verify the algebraic identity (a+b)²=a²+2ab+b²

Solution:

(a+b)²

=> (a+b)(a+b)

=> a(a+b) + b(a+b)

=> a²+ab + ab +b²

=> a²+2ab +b²

Therefore, the algebraic identity (a+b)²=a²+2ab+b² is verified

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