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dd the polynomials: (a) (-6a³ + 5a² – 7a + 9) + (4a³ – 5a? - a - 8) () (즐까 + 를 + 1) + (클m-금m-4) (c) (16g² – h²) + (4g² + 2gh + 10h²) (b) -m2

dd the polynomials: (a) (-6a³ + 5a² – 7a + 9) + (4a³ – 5a? - a - 8) () (즐까 + 를 + 1) + (클m-금m-4) (c) (16g² – h²) + (4g² + 2gh + 10h²) (b) -m2

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter6: Polynomials
Section6.1: Add And Subtract Polynomials
Problem 6.30TI: The polynomial 6x2+15xy gives the cost, in dollars, of producing a rectangular container whose top...
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Add the polynomials: (a) (-6a³ + 5a? – 7a + 9) + (4a3 – 5a? – a – 8) (0) (즐까 + 를 + 1)+ (금m-금m-4) 3 (c) (16g2 – h2) + (4g² + 2gh + 10h2) We will reorder and regroup to get the like terms together. Then we will combine like terms. To add polynomials means to combine their like terms. (a) (-6a³ + 5a² – 7a + 9) + (4a³ – 5a2 – a - 8) = (-6a3 + 4a³) + (5a² – 5a2) + (-7a – a) + (9 – 8) a3 + 0a2 + ( Group like terms together. a) + 1 Combine like terms. :2a3 8а + = - (0) (늘까+ 글+ 1)+ (름m-금m-) - ({m² + m²) + (3m - zm) + - (주m? + 클m) + (음m-공m) + (b) 7 + (1 – 4) Group like terms together. Build equivalent fractions: 1/2· 2/2 = 2/4 and 2/3 · 3/3 = 6/9. = %3D m² 3 Do the addition and subtraction. (c) (16g² – h²) + (4g² + 2gh + 10h²) = (16g? + 4g?) + 2gh + (-h² + 10h²) |g? + 2gh + Group like terms together. %3D h? Combine like terms. %D Add the polynomials: (a) (4a? – a + 6) + (6a? + 7a – 9 (b) (흘2 + 금+ 4) + (층02--13) (c) (3x² – 2xy – y²) + (4x² – y?) and (a) (b) (c)
Transcribed Image Text:Add the polynomials: (a) (-6a³ + 5a? – 7a + 9) + (4a3 – 5a? – a – 8) (0) (즐까 + 를 + 1)+ (금m-금m-4) 3 (c) (16g2 – h2) + (4g² + 2gh + 10h2) We will reorder and regroup to get the like terms together. Then we will combine like terms. To add polynomials means to combine their like terms. (a) (-6a³ + 5a² – 7a + 9) + (4a³ – 5a2 – a - 8) = (-6a3 + 4a³) + (5a² – 5a2) + (-7a – a) + (9 – 8) a3 + 0a2 + ( Group like terms together. a) + 1 Combine like terms. :2a3 8а + = - (0) (늘까+ 글+ 1)+ (름m-금m-) - ({m² + m²) + (3m - zm) + - (주m? + 클m) + (음m-공m) + (b) 7 + (1 – 4) Group like terms together. Build equivalent fractions: 1/2· 2/2 = 2/4 and 2/3 · 3/3 = 6/9. = %3D m² 3 Do the addition and subtraction. (c) (16g² – h²) + (4g² + 2gh + 10h²) = (16g? + 4g?) + 2gh + (-h² + 10h²) |g? + 2gh + Group like terms together. %3D h? Combine like terms. %D Add the polynomials: (a) (4a? – a + 6) + (6a? + 7a – 9 (b) (흘2 + 금+ 4) + (층02--13) (c) (3x² – 2xy – y²) + (4x² – y?) and (a) (b) (c)
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