Question

Assignment Scoring part only changes i the answer Your last submission is used for your score 人3.5 Perform the operation and write the result in standard form (3-1 (63-4) Perform the Indicated operations and simplify the expression. (5y2 4y +525y- 8) 0 Multiply the polynomials (6x H 2)(3x 5) Perform the indicated operations and simplitfy the expression (2x + 605x 4)

Answer 1

Given - (t^3 - 1) + (6t^3 - 4t) Remove parentheses (a) = a = (t^3 - 1) + 6t^3 - 4t) - (t^3 - 1): - t^3 + 1 - (t^3 - 1) Distribute parentheses = -(t^3) - (- 1) Apply minus - plus, rules - (a) = a, - (a) = -a = -t^3 + 1 = -t^3 + 1 + 6t^3 - 4t simplify - t^3 + 1 + 6t^3 - 4t - t^3 + 1 + 6t^3 - 4t Group like terms = -t^3 + 6t^3 - 4t Add similar elements - t^3 + 6t^3 = 5t^3 = st^3 - 4t + 1 (2) (5y^2 + y + 5) - (y^2 - 5y - 8) given (5y^2 - 4y + 5) - (y^2 - 5y - 3) Remove parentheses (a) = (a) = 5y^2 - 4y + 5 - (y^2 - 5y - 8) - (y^2 - 5y - 8): - y^2 + 5y + 8 - (y^2 - 5y - 8) Distribute parentheses = -(y^2) - (- 5y) - (- 8) Apply minus - plus rules - (a) = a, - (a) = -a = -y^2 + 5y + 8 = 5y^2 - 4y + 5 - y^2 + 5y + 8 simplify 5y^2 - 4y + 5 - y^2 + 5y + 8 Group like terms = 5y^2 - y^2 - 4y + 5y + 5 + 8 Add similar elements (- 4y + 5y = y) = 5y^2 - y^2 + y + 5 + 8 Add similar element (5y^2 - y^2 = 4y^2) = 4y^2