Chapter 8, Problem 2SGR

To determine

To state whether the statement is true or false

Answer to Problem 2SGR

True

Explanation of Solution

Given:

Statement: $(x+5)(x-5)$ is the factorization of difference of squares.

Concept used:

Factorisation using difference of squares:

  $(a+b)(a-b)=a^2-b^2$

Calculation:

Consider the given expression,

  $(x+5)(x-5)$

The given expression is of the form,

  $(a+b)(a-b)=a^2-b^2$

which can be written as $(x+5)(x-5)=x^2-25$

Therefore, the expression can be factored using difference of squares.

Conclusion:

Therefore, the expression is the factorization of difference of squares.