Question

which expression is equivalent to (p – q)(x)?
5(x – 1) – x2 – 1
(5x – 1) – (x2 – 1)
(x2 – 1) – 5(x – 1)
(x2 – 1) – 5x – 1

Answer 1

p(x) = x^2 - 1

q(x) = 5(x - 1)

q(x) = 5(x - 1)

q(x) = 5(x) - 5(1)

q(x) = 5x - 5

(p - q)(x) = (x^2 - 1) - (5x - 5)

(p - q)(x) = x^2 - 5x + 4

Answer 2

The expression which is equivalent to (p-q)(x) =  (x² - 1) - 5(x - 1)

What is Equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Here, p(x) = x² - 1

         q(x) = 5(x - 1)

Now, ( p - q )(x) = p(x) - q(x)

         (p - q)(x) = (x² - 1) - 5(x - 1)

Thus, the expression which is equivalent to (p-q)(x) =  (x² - 1) - 5(x - 1)

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