Question

(i) One of the factors of the expression (p²x - q²x) is (a) p (b) 4 (d) p-a (c) pa​

Answer 1

Answer:

p-q

Step-by-step explanation:

= (p²x - q²x)

= x(p² - q²)                         [taking x common]

= x(p + q)(p - q)                  [using identity a² - b² = (a+b)(a-b)]

Therefore, its factors are x, p+q and p-q.

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

(Although Question is complete but there are some minor typing mistakes in the options  b) 4 should be b) q  and  c) pa should be pq  and d) p - a should be p - q)

Here is the link : https://brainly.in/question/48599429