Question

is (x+y)²=x²+y² ? Justify your answer.​

Answer 1

the answer is 2xy

because (x+y)^2=(x+y)(x+y)

=x^2 +y^2+2xy

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:

(x +y)^2=x^2 + y^2.

Find:

To justify (x +y)^2=x^2 + y^2.

Solution:

A two-variable formula. Unless x and/or y are zero, it is usually incorrect as a statement.

(x +y)^2=x^2 + y^2 + 2xy

Thus,

(x +y)^2=x^2 + y^2 + 2xy --> 2xy = 0

2xy = 0 only when x = 0 and y = 0.

So, (x +y)^2=x^2 + y^2.

Hence, we can say that (x +y)^2=x^2 + y^2 when 2xy is 0.

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