Question

Translate into mathematical expression:

1. For any real numbers x and y, the square of their sum is equal to the sum of their squares plus twice their product.
2. For any rational numbers a and b, if their product is zero then either a or b equals 0.

Answer 1

Answer:

x² + y² + 2xy

For any rational numbers a and b, if their product is zero then either a or b equals to 0.

Answer 2

Given  :

1. For any real numbers x and y, the square of their sum is equal to the sum of their squares plus twice their product.

2. For any rational numbers a and b, if their product is zero then either a or b equals 0.

To Find : Translate into mathematical expression

Solution:

1. For any real numbers x and y, the square of their sum is equal to the sum of their squares plus twice their product.

(x + y)² = x² + y² + 2xy    where x , y ∈R

2. For any rational numbers a and b, if their product is zero then either a or b equals 0.

If ab = 0 => a = 0 or b = 0   where a , b ∈ Q

Q represent Set of Rational numbers

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