Chapter ISG, Problem 1.3.9P

To determine

Simplify the expression $-b+3a+b^2-2b+6a-9a$

Answer to Problem 1.3.9P

  $3$

Explanation of Solution

Given information:

  $-b+3a+b^2-2b+6a-9a$

Formula used:

Simplification of equation

Calculation:

  $-b+3a+b^2-2b+6a-9a$

Now assume the equation is equal to 0 then

  $-b+3a+b^2-2b+6a-9a=0$

Arrange the a and b term

  $\left(-b+b^2-2b\right)+\left(3a+6a-9a\right)=0$

Add and subtract the bracket term

  $\left(b^2-3b\right)+\left(9a-9a\right)=0$

By subtracting the a term

  $\left(b^2-3b\right)=0$

Move the 3b term in zero side

  $b^2=3b$

Divide by b both side,the final answer is

  $b=3$