Explanation Given Information: The provided expression is a 2 − a b − 2 b 2 . Formula used: Follow the steps as mentioned below to compute the factorization of expression a x 2 + b x + c when a ≠ 1 by foil method. Step 1: Take the largest common factor as common, if possible. Step 2: Find the two first terms in a combination whose product will give a x 2 which will represent “ F” in the FOIL. Step 3: Find the two last terms in a combination whose product will give c which will represent “ L” in the FOIL. Step 4: Take the outer product by multiplying first and the last term obtained from step 2 and 3. Also take the inner product by multiplying remaining inner terms obtained from step 2 and 3 then take the sum of results to get the value of b x which will represent “OI” in the FOIL. Step 5: Check the result by multiplication. Calculation: Consider the provided expression, a 2 − a b − 2 b 2 To calculate the factor, follow the FOIL Method, Take the combination of two terms, whose product is a 2 , Only one possible combination exists for the product of a 2 that is, a and a . Write this combination in factor form, as, ( a + ) ( a + ) Take the possible pairs of terms, whose product is − 2 b 2 , Possible pairs Product of pairs − 2 b , b − 2 b 2 2 b , − b − 2 b 2 b , − 2 b − 2 b 2 − b , 2 b − 2 b 2 Here the sign of the middle term is negative and the sign of the last term is also negative. So, select a positive and a negative pair to keep the signs same. Form the pair to get middle term − a b by checking each possible pair via substituting the combination in the factored form, as, Trial Product Remark ( a − 2 b ) ( a + b ) a 2 + a b − 2 a b − 2 b 2 = a 2 − a b − 2 b 2 Middle term is − a b So, this pair is correct

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 11.6, Problem 57ES

To determine

To calculate: The factorized form of the expression a2−ab−2b2.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.6, Problem 56ES

Chapter 11.6, Problem 58ES

Chapter 11 Solutions

Developmental Mathematics (9th Edition)

Ch. 11.1 - Objective 7.7d: Use the distributive laws to...Ch. 11.1 - Prob. 2SR Ch. 11.1 - Prob. 1DE Ch. 11.1 - Prob. 2DE Ch. 11.1 - Prob. 3DE Ch. 11.1 - Prob. 4DE Ch. 11.1 - Prob. 5DE Ch. 11.1 - Prob. 6DE Ch. 11.1 - Find the GCF. GS 24m5n6,12mn3,16m2n2,8m4n4 The...Ch. 11.1 - Prob. 8DE

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The factorized form of the expression a 2 − a b − 2 b 2 .

Solution Summary: The author explains how to calculate the factorization of the expression a2-ab-2b2.

Videos

To calculate: The factorized form of the expression a2−ab−2b2.

Want to see the full answer?

Chapter 11 Solutions