Question

( 5p²-25p+20) ÷ (p-1)​

Answer 1

Answer:

Given :-

• ( 5p² - 25p + 20 ) ÷ ( p - 1 )

solve :-

• ( 5p² - 25p + 20 ) ÷ ( p - 1 )

➻ ( 5p² - 25p + 20 )

➻ 5 ( p² - 5p + 4 )

➻ 5 { p² - ( 4 + 1 ) p + 4 }

➻ 5 {p² - 4p - p + 4 }

➻5 { p ( p - 4 ) - 1 ( p - 4 )

➻ 5 ( p - 4 ) ( p - 1 )

Now by dividing,

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

➔ $\dfrac{ 5 ( p - 1 ) ( p - 4 )}{(p - 1)}$

➔ $\sf 5 \times \dfrac{(p - 1)}{(p - 1)} \times (p - 4)$

➔ $5(p - 4)$