Chapter ISG, Problem 1.2.11P

To determine

Determine whether each statement about the expression $a^2-5\left(b+2\right)$ is always,sometimes or never true.

Answer to Problem 1.2.11P

True

  $a^2-15=a^2-15$

Explanation of Solution

Given information:

  $a^2-5\left(b+2\right)$

If b = 1 then the value of the expression is equivalent $a^2-15$

  $a^2-5\left(b+2\right)$

Put the value b = 1 in the given equation and expression is equivalent $a^2-15$

  $a^2-5\left(1+2\right)=a^2-15$

Add the bracket term

  $a^2-5\left(3\right)=a^2-15$

Multiply 5 to 3

  $a^2-15=a^2-15$

It will be always true on the any value of a