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

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

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

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

In the square of a sum, the middle term is '+', whereas in the square of a difference, it is '-'.

They both have the same middle term.

The square of a difference has an additional middle term.

There is no difference in the middle term.

(x - 9)(x + 1)

x(x - 9)

(x + 3)(x - 3)

x^2 - 3

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

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

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

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

x^2 - 2xy + y^2

x^2 + 2xy + y^2

x^2 + 3xy + y^2

(x + y)(x + y)

Standard multiplication rules.

They are shortcuts used to simplify the process of expanding polynomial expressions.

Techniques for reducing large numbers.

Formulas used to divide polynomials.

m^3 + m^2n + mn^2 + n^3

m^3 + 3m^2n + 3mn^2 + n^3

m^3 + 2m^2n + 2mn^2 + n^3

(m + n)(m^2 + mn + n^2)

It results in a binomial expression with two factors: (a + b) and (a - b).

It has a trinomial expression.

It doesn't have any factors.

It results in a single squared factor.

No, (x + y + z)^2 is not directly solved by (a + b)^2; it requires additional steps.

Yes, it can be directly applied.

Only when all terms are equal.

It depends on the values of x, y, and z.