For every rational numbers x, y and z, x + (y × z) = (x + y) × (x + z). Is the given statement true or false

Solution:

Given x + (y × z) = (x + y) × (x + z).

This deals with the distributive property of rational numbers.

LHS = x + yz

RHS = (x + y)(x + z) = x² + zx + yx + yz

LHS is not equal to RHS.

Hence, it is false.

✦ Try This: Is 2 + (3 × 1) = (2 + 3) × (2 + 1) true?

LHS = 2 + 3 = 5

RHS = 5 × 3 = 15

LHS is not equal to RHS.

Hence, it is false.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 69

For every rational numbers x, y and z, x + (y × z) = (x + y) × (x + z). Is the given statement true or false

Summary:

For every rational numbers x, y and z, x + (y × z) = (x + y) × (x + z). This statement is false

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