Prove that the value of the expression does not depend on the variable x: a) (x–5)(x+8)–(x+4)(x–1) b) x^4–(x^2–1)(x^2+1) 20 points

See below

Step-by-step explanation:

If an expression is not dependent on x, it simplified form must not contain x. To show that this is the case for (a) and (b) we need to simplify them and assess:

(a)

Indeed, does not depend on x!

And (b)

Again, does not depend on x.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

80 the answer is 80

step-by-step explanation: