x^m + x^m = x^2m , where x is a non-zero rational number and m is a positive integer. State whether the given statement is true or false

Solution:

Given, x is a non-zero rational number

m is a positive integer

x^m + x^m = x^2m

We have to determine if the given statement is true or false.

LHS: Considering x^m + x^m,

x^m + x^m = x^m (1 + 1)

= 2x^m

RHS = x^2m

LHS ≠ RHS

So, x^m + x^m ≠ x^2m

Therefore, the given statement is false.

✦ Try This: b^m + b^m = b^2m , where b is a non-zero rational number and m is a positive integer. State whether the given statement is true or false

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

NCERT Exemplar Class 7 Maths Chapter 11 Problem 51

x^m + x^m = x^2m , where x is a non-zero rational number and m is a positive integer. State whether the given statement is true or false

Summary:

The given statement,”x^m + x^m = x^2m , where x is a non-zero rational number and m is a positive integer” is false.

☛ Related Questions:

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