3. Simplify the following .. a. (2m² — mn + 4n²) – (5m² − n²) + (7m² – 2mn) b. (4x-1)(5x + 2)(x-3)
3. Simplify the following .. a. (2m² — mn + 4n²) – (5m² − n²) + (7m² – 2mn) b. (4x-1)(5x + 2)(x-3)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Simplify the following ..
a. (2m² - mn +4n²) - (5m² -n²) + (7m² - 2mn)
b. (4x - 1)(5x + 2)(x − 3)
Expert Solution
Step 1: Explanation
3.(a)
(2m²-mn+4n²)-(5m²-n²)+(7m²-2mn)
=2m²-mn+4n²-5m²+n²+7m²-2mn (distributive law)
=(2m²-5m²+7m²)+(4n²+n²)+(-mn-2mn)(commutative law)
=(2-5+7)m²+(4+1)n²+(-1-2)mn (distributive law)
=4m²+5n²-3mn (by additative law of reals)
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