Simplify- 5 p2-25 p-20 -p-4-A- 5p-2B- 5p-1C- 5p-2D- 5p-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[ ...

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Byju's Answer

Standard VIII

Mathematics

Division of an Expression by a Expression

Simplify: 5 p...

Question

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

5 (p + 2)

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5 (p - 2)

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5 (p + 1)

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5 (p - 1)

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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,
$5 p^{2} - 25 p + 20 = 5 (p^{2} - 5 p + 4) = 5 [p^{2} - p - 4 p + 4] = 5 [p (p - 1) - 4 (p - 1)] = 5 (p - 1) (p - 4) Hence, \frac{5 p^{2} - 25 p + 20}{(p - 4)} = \frac{5 (p - 1) (p - 4)}{(p - 4)} = 5 (p - 1)$

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Similar questions

Evaluate:

(5 p^{2} - 25 p + 20) \div (p - 1)

Q. Solve:

(5 p^{2} - 25 p + 20) \div (p - 1)

Solve the following equations.

(a) 4 = 5 (p − 2) (b) − 4 = 5 (p − 2)

(e) 0 = 16 + 4 (m − 6)

Q. Factorise the expression and divide them as directed.

(5 p^{2} - 25 p + 20) \div (p - 1)

Q. Factorize

i.)

5 p^{2} - 25 p + 20

ii.)

x^{2} + 11 x + 28

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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)

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