if p(x)=x*2-1 and q(x)=5(x-1),which expression is equivalent to (p-q)(x)?

Question

￼if p(x)=x*2-1 and q(x)=5(x-1),which expression is equivalent to (p-q)(x)?

Dau · Answer

Answer:   (p - q)(x) = (x -1) (x - 4)       Step-by-step explanation:    Given     p(x) = x^2 - 1      q(x) = 5(x - 1)         Required   (p - q)(x)       This is represented as:   (p - q)(x) = p(x) - q(x)  (p - q)(x) = x^2  - 1 - 5(x - 1)  (p - q)(x) = x^2  - 1 - 5x + 5     Collec like terms   (p - q)(x) = x^2  - 5x + 5 - 1  (p - q)(x) = x^2  - 5x + 4     Expand   (p - q)(x) = x^2 -4x - x + 4     Factorize   (p - q)(x) = x(x -4) - 1(x - 4)  (p - q)(x) = (x -1) (x - 4)

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