Question

Alpha - beta whole square

Answer 1

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Answer 2

Concept:

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

Given:

Alpha - beta whole square i.e. (α + β)^2.

Find:

We have to find the (α + β)^2.

Solution:

As we know that from algebraic expression formula.

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

Similarly

(α + β)^2 = α^2 +β^2 + 2αβ.

If you're thinking of them as the quadratic equation's roots, then

(α + β)^2 = q^2/p^2 where p is the coefficient of x^2 and q is the coefficient of x.

By following quadratic equation we have,

αx^2 + βx + c.

Hence, (α + β)^2 = α^2 +β^2 + 2αβ.

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