Question

Write 5algebraic expression in the form of the identity and factorize them using the identity

Answer 1

Answer:

Factorisation of 5 Algebraic Identities in  the following answer will be:

1)(a+b)^2

2)(a-b)^2

3)(a−b)(a+b)

4)(x+a)(x+b)

5)(a+b+c)^2

Step-by-step explanation:

1)(a+b)^2

=(a+b)(a+b)

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

=a^2+ab+ab+b^2

=a^2+2ab+b

2)(a-b)^2

=(a−b)(a−b)

=a(a-b)−b(a-b)

=a^2−ab−ab+b^2

=a^2-2ab+b^2

3)(a−b)(a+b)

=(a−b)(a+b)

=a(a+b)−b(a+b)

=a^2+ab−ab−b^2

=a^2−b^2

4)(x+a)(x+b)

=(x+a)(x+b)

=x(x+a)+b(x+a)

=x^2+ax+bx+ba

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

5)(a+b+c)^2

=(a+b+c)(a+b+c)

=a(a+b+c)+b(a+b+c)+c(a+b+c)

=a^2+ab+ac+ba+b^2+bc+ac+bc+c^2

=a^2+b^2+c^2+2ab+2bc+2ac