Question

(5x²–25x+20)÷(x–1) factorize the expression and divide them as directed

Answer 1

Answer:

5x - 20

Step-by-step explanation:

Attached below... hope it helps

Answer 2

The value of $\dfrac{5x^2-25x+20}{(x-1)}$ $= 5(x - 4)$

Step-by-step explanation:

We have,

$\dfrac{5x^2-25x+20}{(x-1)}$

To find, the value of $\dfrac{5x^2-25x+20}{(x-1)}$ is:

∴ $\dfrac{5x^2-25x+20}{(x-1)}$                         ......... (1)

The factorisation of $5x^2$ - 25x + 20

= $5x^2$ - 20x - 5x + 20

= 5x(x - 4) - 5(x - 4)

= (5x - 5)(x - 4)

= 5(x - 1)(x - 4)

∴ $\dfrac{5(x - 1)(x - 4)}{(x-1)}$

= 5(x - 4)      

∴ The value of $\dfrac{5x^2-25x+20}{(x-1)}$ $= 5(x - 4)$