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vagabundo [1.1K]
3 years ago
12

Factorise p-q-x(q-p)​

Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

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