Download presentation

Presentation is loading. Please wait.

Published byJaydon Hagg Modified over 3 years ago

1
Distributive Law Example 1Example 2 Example 3Example 4

2
Distributive Law Using this law from left to right we can remove the parenthesis and then simplify the algebraic expression; and if we use it from right to left, we can factor algebraic expressions. Example1: Simplify 3 ( 2a - 3b + 4 ) – 2 (a – 2b + 3) Expanding … 3 ( 2a - 3b + 4 ) – 2 ( a – 2b + 3) = 6a- 9b+12- 2a + 4b - 6 Answer: 4a – 5b + 6 General Distributive Law: (a+b+c+…)(p+q+r+…)= a(p+q+r+ …) + b(p+q+r+ …)+ c (p+q+r+ …)+ … = ap+aq+ar+… + bp+bq+br… + cp+cq+cr+ …+ … Example 2: Simplify (a+2)(a 2 -2a+4) = a 3 – 2a 2 + 4a+ 2a 2 - 4a+ 8 Answer : a 3 + 8 Distributive Law: a·(b+c) = a·b+a·c where a,b,c&d represent real numbers. = 4a – 5b +6Combining like terms = a 3 + 8 Return to tableReturn to table or click anywhere to continue.

3
Example 3: Simplify (x 2 +1)(x + 1) – x(x + 2)(x - 1) (x 2 +1)(x + 1) – x (x + 2)(x - 1) Applying the Distributive Law … = [ x 3 + x 2 + x + 1] – x [x 2 - x +2x - 2] Working on the parentheses … = [ x 3 + x 2 + x + 1 ] – x [x 2 + x - 2] Removing parentheses …. = x 3 + x 2 + x + 1 – x 3 – x 2 + 2x Combining like terms … = 3x + 1 Example 4: Simplify Applying the Distributive Law, we get: Simplifying … Expanding … Removing parenthesis … Answer 4x 2 -3x+5 Click Here to see factoring polynomials. Return to tableHere Return to table Combining like terms Answer : 3x + 1

Similar presentations

OK

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 1 Introduction to Algebraic Expressions.

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 1 Introduction to Algebraic Expressions.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on new zealand cultures Ppt on mahatma gandhi in hindi language Ppt on types of pollution in hindi Ppt on effect of western culture on indian youth Ppt on earthquake in india Ppt on ic fabrication steps Ppt on artificial intelligence and robotics Free download ppt on nitrogen cycle Ppt on articles for class 7 Download ppt on transformation of energy