Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 5: Problem 5

Remove the brackets from the given expression: \((x-1)(x+2)\)

Short Answer

Expert verified
Answer: The simplified form of the expression is \(x^2 + x - 2\).

Step by step solution

01

Distributive Property

Apply the distributive property to the expression by multiplying each term in the first parentheses set by each term in the second parentheses set. We will have: \((x-1)(x+2) = x(x+2) - 1(x+2)\)
02

Expand the Terms

Expand the terms in the expression by multiplying each term: \(x(x+2) - 1(x+2) = x^2 + 2x - x - 2\)
03

Simplify the Expression

Combine the like terms in the expression to simplify it: \(x^2 + 2x - x - 2 = x^2 + x - 2\) The final expression with the brackets removed is \(x^2 + x - 2\).

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!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

For the following formulae, find \(y\) at the given values of \(x\) : (a) \(y=\frac{1}{2} x+\frac{1}{3}, x=-2, x=0, x=1\) (b) \(y=2 x^{2}+3 x+1, x=-2, x=-1\), \(x=0, x=1, x=2\) (c) \(y=2 x^{3}+3 x^{2}, x=-4, x=0, x=4\)

Simplify $$ \frac{y^{6} y^{-3} y^{0.5}}{y^{-2} y^{7}} $$

Remove the brackets from the given expression: \(7(2 x+y)\)

Simplify $$ \frac{a^{7} \times a^{-13}}{a^{-5}} $$

Simplify, if possible, (a) \((9 x)(-3 y)\) (b) \(9(4 x+5 x)\) (c) \(-2 x+11 x\) (d) \((-2 x)(11 x)\) (e) \(3 x-2 y+4 z-2 x-3 y+9 z\) (f) \((8 m)(-3 q)\) (g) \(8 m(-3 q)\) (h) \(8 m-3 q\) (i) \(8(m-3 q)\) (k) \(\frac{8 a b^{2} d}{4 a b c}\) (1) \(x-x(\mathrm{~m})(x)(-x)\) (n) \(x(-x)\) (o) \(-x(x)\)
See all solutions

Recommended explanations on Physics Textbooks

Astrophysics

Read Explanation

Radiation

Read Explanation

Particle Model of Matter

Read Explanation

Measurements

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Rotational Dynamics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free