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CHECK Your Una 1. Simplify. b) a) (3x² - 7x + 5) + (x²-x + 3) (x² - 6x + 1)-(-x² - 6x + 5) c) (2x² - 4x + 3) - (x²-3x + 2) + (x² - 1) 2. Show that f(x) and g(x) are equivalent by simplifying each. f(x) = (2x - 1)-(3-4x) + (x + 2) g(x)= (-x+6) + (6x9) (-2x - 1) 3. Show that f(x) and g(x) are not equivalent by evaluating each function- suitable value of x. PRACTISING 4. Simplify. a) (2a + 4c + 8) + (7a-9c-3) (3x + 4y - 52) + (2x² + 6z) (6x + 2y + 9) + (-3x - 5y - 8) (2x² - 7x + 6) + (x² - 2x - 9) (-4x² - 2xy) + (6x2-3xy + 2y²) (x² + y² + 8) + (4x² - 2y² - 9) b) c) d) c) d) e) e) f) f(x) = 2(x-3) + 3(x-3) g(x) = 5(2x - 6) 5. Simplify. a) (m-n+2p) - (3n+p-7) b) (-6m2q + 8) c) (4a²-9) - (a³ + 2a-9) d) 6. Simplify. a) b) (2m² - 6mn + 8n²) + (4m² + mn + e) (3x² + 2y² + 7) - (4x²2y² - 8) f) 5x² - (2x² + 30) + (+20) (2m + 2q + 7) (2x−y) - (-3x + 4y) + (6x-2y) (3x²2x) + (x² - 7x) - (7x + 3) 7n²) VU IN (2x² + xy - y²) - (x² - 4xy + y²) + (3x² - 5xy) (xy - xz + 4yz) + (2x-3yz) - (4y - xz)

CHECK Your Una 1. Simplify. b) a) (3x² - 7x + 5) + (x²-x + 3) (x² - 6x + 1)-(-x² - 6x + 5) c) (2x² - 4x + 3) - (x²-3x + 2) + (x² - 1) 2. Show that f(x) and g(x) are equivalent by simplifying each. f(x) = (2x - 1)-(3-4x) + (x + 2) g(x)= (-x+6) + (6x9) (-2x - 1) 3. Show that f(x) and g(x) are not equivalent by evaluating each function- suitable value of x. PRACTISING 4. Simplify. a) (2a + 4c + 8) + (7a-9c-3) (3x + 4y - 52) + (2x² + 6z) (6x + 2y + 9) + (-3x - 5y - 8) (2x² - 7x + 6) + (x² - 2x - 9) (-4x² - 2xy) + (6x2-3xy + 2y²) (x² + y² + 8) + (4x² - 2y² - 9) b) c) d) c) d) e) e) f) f(x) = 2(x-3) + 3(x-3) g(x) = 5(2x - 6) 5. Simplify. a) (m-n+2p) - (3n+p-7) b) (-6m2q + 8) c) (4a²-9) - (a³ + 2a-9) d) 6. Simplify. a) b) (2m² - 6mn + 8n²) + (4m² + mn + e) (3x² + 2y² + 7) - (4x²2y² - 8) f) 5x² - (2x² + 30) + (+20) (2m + 2q + 7) (2x−y) - (-3x + 4y) + (6x-2y) (3x²2x) + (x² - 7x) - (7x + 3) 7n²) VU IN (2x² + xy - y²) - (x² - 4xy + y²) + (3x² - 5xy) (xy - xz + 4yz) + (2x-3yz) - (4y - xz)

Advanced Engineering Mathematics
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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CHECK Your Unde 1. Simplify. a) (3x² - 7x + 5) + (x²-x + 3) b) (x² - 6x + 1)-(-x² - 6x + 5) c) (2x² - 4x + 3) - (x²-3x + 2) + (x² - 1) 2. Show that f(x) and g(x) are equivalent by simplifying each. 3. Show that f(x) and g(x) are not equivalent by evaluating each function. suitable value of x. PRACTISING 4. Simplify. b) a) (2a + 4c + 8) + (7a-9c-3) (3x + 4y - 5z) + (2x² + 6z) (6x + 2y + 9) + (-3x - 5y - 8) (2x² - 7x + 6) + (x² - 2x - 9) c) f) d) f(x) = (2x-1)-(3-4x) + (x + 2) g(x) = (x + 6) + (6x9) (-2x - 1) e) f) (x² + y² + 8) + 5. Simplify. a) (m-n+2p) - (3n+p-7) b) (-6m 2q + 8) (4a²-9) - (a³ + 2a-9) 6. Simplify. a) b) (-4x² - 2xy) + (6x²-3xy + 2y²) (4x² - 2y² - 9) f(x) = 2(x 3) + 3(x − 3) g(x) = 5(2x - 6) c) d) (2m² - 6mn + 8n²) + (4m² + mn + (3x² + 2y² + 7) - (4x² - 2y² - 8) f) 5x² - (2x² +30) + (-20) e) -x+ 2 (2x-y)-(-3x + 4y) + (6x-2y) (3x²2x) + (x² - 7x) - (7x + 3) c) (2x² + xy - y²) - (x² + 4xy + y²) + (3x² - 5xy) (xy - xz + 4yz) + (2x - 3yz) - (4y - xz) d) 1 e) 3 (2m + 2q + 7) - 7n²) (+2)+(x + ½-1) 7. Use two different methods to show that the expressions K (3x²-x) - (5x² - x) and - 2x² 2x are not equivalent. 8. Determ a) f(: 8( b) 3,1 C) Y d) f e) f) 9. Det f(0 10. Ko qu no x a 11. A 1
Transcribed Image Text:CHECK Your Unde 1. Simplify. a) (3x² - 7x + 5) + (x²-x + 3) b) (x² - 6x + 1)-(-x² - 6x + 5) c) (2x² - 4x + 3) - (x²-3x + 2) + (x² - 1) 2. Show that f(x) and g(x) are equivalent by simplifying each. 3. Show that f(x) and g(x) are not equivalent by evaluating each function. suitable value of x. PRACTISING 4. Simplify. b) a) (2a + 4c + 8) + (7a-9c-3) (3x + 4y - 5z) + (2x² + 6z) (6x + 2y + 9) + (-3x - 5y - 8) (2x² - 7x + 6) + (x² - 2x - 9) c) f) d) f(x) = (2x-1)-(3-4x) + (x + 2) g(x) = (x + 6) + (6x9) (-2x - 1) e) f) (x² + y² + 8) + 5. Simplify. a) (m-n+2p) - (3n+p-7) b) (-6m 2q + 8) (4a²-9) - (a³ + 2a-9) 6. Simplify. a) b) (-4x² - 2xy) + (6x²-3xy + 2y²) (4x² - 2y² - 9) f(x) = 2(x 3) + 3(x − 3) g(x) = 5(2x - 6) c) d) (2m² - 6mn + 8n²) + (4m² + mn + (3x² + 2y² + 7) - (4x² - 2y² - 8) f) 5x² - (2x² +30) + (-20) e) -x+ 2 (2x-y)-(-3x + 4y) + (6x-2y) (3x²2x) + (x² - 7x) - (7x + 3) c) (2x² + xy - y²) - (x² + 4xy + y²) + (3x² - 5xy) (xy - xz + 4yz) + (2x - 3yz) - (4y - xz) d) 1 e) 3 (2m + 2q + 7) - 7n²) (+2)+(x + ½-1) 7. Use two different methods to show that the expressions K (3x²-x) - (5x² - x) and - 2x² 2x are not equivalent. 8. Determ a) f(: 8( b) 3,1 C) Y d) f e) f) 9. Det f(0 10. Ko qu no x a 11. A 1
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