Chapter 5: Problem 2

Factorise (a) \(m n+11 m\), (b) \(3 p q-2 p\), (c) \(11 p q-3 q r\), (d) \(4 z x+20 y z\)

Short Answer

Expert verified

(a) \(mn + 11m\) (b) \(3pq - 2p\) (c) \(11pq - 3qr\) (d) \(4zx + 20yz\) Answer: (a) \(m(n + 11)\) (b) \(p(3q - 2)\) (c) \(q(11p - 3r)\) (d) \(4z(x + 5y)\)

Step by step solution

Identify the GCF of the terms in each expression

We will find the GCF of the terms in each expression to know the common factor to factorise. (a) \(mn + 11m\): The GCF is \(m\) since both terms have \(m\) as a factor. (b) \(3pq - 2p\): The GCF is \(p\) since both terms have \(p\) as a factor. (c) \(11pq - 3qr\): The GCF is \(q\) since both terms have \(q\) as a factor. (d) \(4zx + 20yz\): The GCF is \(4z\) since both terms have \(z\) as a factor and \(4\) is the largest common integer divisor.

Factor the GCF from each expression

Using the GCF identified in Step 1, we will factor out the common factor from each term in the expressions. (a) \(mn + 11m\): Since the GCF is \(m\), we can rewrite the expression as \(m(n + 11)\). (b) \(3pq - 2p\): Since the GCF is \(p\), we can rewrite the expression as \(p(3q - 2)\). (c) \(11pq - 3qr\): Since the GCF is \(q\), we can rewrite the expression as \(q(11p - 3r)\). (d) \(4zx + 20yz\): Since the GCF is \(4z\), we can rewrite the expression as \(4z(x + 5y)\). Now we have factorised the given expressions as follows: (a) \(mn + 11m = m(n + 11)\) (b) \(3pq - 2p = p(3q - 2)\) (c) \(11pq - 3qr = q(11p - 3r)\) (d) \(4zx + 20yz = 4z(x + 5y)\)

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Factorise (a) \(m n+11 m\), (b) \(3 p q-2 p\), (c) \(11 p q-3 q r\), (d) \(4 z x+20 y z\)

Short Answer

Step by step solution

Identify the GCF of the terms in each expression

Factor the GCF from each expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Torque and Rotational Motion

Space Physics

Fields in Physics

Magnetism

Rotational Dynamics

Energy Physics

Study anywhere. Anytime. Across all devices.