Which algebraic law is represented by \(p(q+r)=pq+pr\)?
Answer and explanation
Correct answer: Distributive law
In the left-hand side, \(p\) is multiplied separately by both terms inside the parentheses, \(q\) and \(r\): \(p(q+r)=pq+pr\). Therefore, it represents the distributive law. The associative law changes grouping, whereas this expression distributes multiplication over addition. Exam tip: whenever you see \(a(b+c)=ab+ac\) or \(a(b-c)=ab-ac\), identify the distributive law.
Frequently asked questions
What is the correct answer to this question?
Distributive law
Why is this the correct answer?
In the left-hand side, \(p\) is multiplied separately by both terms inside the parentheses, \(q\) and \(r\): \(p(q+r)=pq+pr\). Therefore, it represents the distributive law. The associative law changes grouping, whereas this expression distributes multiplication over addition. Exam tip: whenever you see \(a(b+c)=ab+ac\) or \(a(b-c)=ab-ac\), identify the distributive law.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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