Question

one of the factor of the expression (p²x-q²x) is (a)p (b) q (c) pq (d) p-q







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Answer 1

Answer:

p-q

Step-by-step explanation:

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Answer 2

p -q is a factor of (p²x - q²x)

Given:

• Expression
• (p²x - q²x)

To Find:

• One of the factor from the given options
• a) p
• b) q
• c) pq
• d) p - q

Solution:

Factorization is finding factors which when multiplied together results in the original number.

(p²x - q²x)

Step 1:

Taking x common from both the term

x(p²  - q²)

Step 2:

Using identity a² - b² = (a + b)(a - b) where a= p and b = q

x(p + q)(p  - q )

Step 3:

Check the factors from the given options

x , p + q , p - q are the factors

from the given options p -q is a factor

Correct option is d) p - q