
Add p(p – q), q(q – r) and r(r – p).
(a)
(b)
(c)
(d)
Answer
509.7k+ views
Hint: Firstly simplify the expression by multiplying the terms in the parentheses using the rule a (b + c) = ab + ac where a, b and c are real numbers. Now apply the property to solve the expression. Then express the algebraic expression according to their decreasing degree of exponents to get the final answer.
Complete step by step solution:
Adding the terms p(p – q), q(q – r) and r(r – p) can be mathematically expressed as,
p(p – q) + q(q – r) + r(r – p)
We know multiplication of an algebraic expression can be done in the form a (b + c) = ab + ac where a, b and c are real numbers.
Applying the above mentioned method to simplify the given expression we get,
pp – pq + qq – qr + rr – rp
We know the property where a is a real number.
Applying the above mentioned property we get,
By arranging the above expression according to the decreasing degree of the exponents we get,
We get the simplified expression as .
Hence option (c) is the correct answer.
Note: The possible error that you may encounter can be the incorrect use of operations. The rearranging of operation signs should be done carefully. Multiplying same algebraic terms should be done in accordance with the property where a is a real number.
Complete step by step solution:
Adding the terms p(p – q), q(q – r) and r(r – p) can be mathematically expressed as,
p(p – q) + q(q – r) + r(r – p)
We know multiplication of an algebraic expression can be done in the form a (b + c) = ab + ac where a, b and c are real numbers.
Applying the above mentioned method to simplify the given expression we get,
pp – pq + qq – qr + rr – rp
We know the property
Applying the above mentioned property we get,
By arranging the above expression according to the decreasing degree of the exponents we get,
We get the simplified expression as
Hence option (c) is the correct answer.
Note: The possible error that you may encounter can be the incorrect use of operations. The rearranging of operation signs should be done carefully. Multiplying same algebraic terms should be done in accordance with the property
Recently Updated Pages
Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Questions & Answers - Ask your doubts

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Science: Engaging Questions & Answers for Success

Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Given that HCF 306 657 9 find the LCM 306 657 class 9 maths CBSE

The highest mountain peak in India is A Kanchenjunga class 9 social science CBSE

What is pollution? How many types of pollution? Define it

Differentiate between the Western and the Eastern class 9 social science CBSE
