nbsp-Simplify-5p-2-25p-20- -p-4-5-p-2-5-p-2-5-p-1-5-p-1-

The correct option is D 5(p 1)Given, the expression is 5p^2 25p+20/(p 4). Now, the numerator can be factorized as, 5p^2 25p+20=5(p^2 5p+4) =5[p^2 p 4p+4] =5[ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Division of an Expression by a Expression

nbsp;Simplify...

Question

$Simplify: (5 p^{2} - 25 p + 20) \div (p - 4) .$

5 (p + 2)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 (p - 2)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 (p + 1)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 (p - 1)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $5 (p - 1)$
Given, the expression is
$\frac{5 p^{2} - 25 p + 20}{(p - 4)} .$
Now, the numerator can be factorized as,
$5 p^{2} - 25 p + 20 = 5 (p^{2} - 5 p + 4) = 5 [p^{2} - p - 4 p + 4] = 5 [p (p - 1) - 4 (p - 1)] = 5 (p - 1) (p - 4) Hence, \frac{5 p^{2} - 25 p + 20}{(p - 4)} = \frac{5 (p - 1) (p - 4)}{(p - 4)} = 5 (p - 1)$

Suggest Corrections

Simplify: (5p2−25p+20)÷(p−4).

The correct option is D 5(p−1)Given, the expression is 5p2−25p+20(p−4). Now, the numerator can be factorized as, 5p2−25p+20=5(p2−5p+4)=5[p2−p−4p+4]=5[p(p−1)−4(p−1)]=5(p−1)(p−4)Hence,5p2−25p+20(p−4)=5(p−1)(p−4)(p−4)=5(p−1)

$Simplify: (5 p^{2} - 25 p + 20) \div (p - 4) .$