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)
ChapterP: Prerequisites
SectionP.3: Polynomials And Special Products
Problem 4ECP: Multiply x2+2x+3 by x22x+3 using a vertical arrangement.
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