Question

Simplify the expression. State any excluded values.

x^ 2 - 36/42x - 7x^ 2

Answer 1

Consider the expression
`x^2-(36)/(42)x-7x^2.`

This expression contains two terms with
`x^2,` group them:

`x^2-7x^2=x^2(1-7)=-6x^2.`

Now simplify term
`(36)/(42)x=(6)/(7)x.`

Now
`x^2-(36)/(42)x-7x^2=-6x^2-(6)/(7)x=6\left(-x^2-(1)/(7)x\right)=-6x\left(x-(1)/(7)\right).`

This expression is defined for all x.