Question

1) 8c³-2c²+4c-1;
2) x²y + x + xy² + y;
3) 9a²b-3a² + 3b² - b;
4) 8a²-2ab-4ac+bc;
5) 2b³-7b²c-4b+14c;
6) 6x∧5 + 4x²y² - 9x³y-6y³.

Answer 1

1)8c³-2c²+4c-1 = (8c³-2c²) + (4c-1) = 2c²(4c-1) + (4c-1) = (4c-1)(2c²+1)

2)x²y + x +xy² + y = (x²y + xy²) + (x + y) = x(x + y) + y(x + y) = (x + y)(x + y)

3) 9a²b-3a² + 3b² - b = (9a²b + 3b²) - (3a² + b) = 3b(3a² + b) - (3a² + b) = (3a² + b)(3b - 1)

4) 8a²-2ab-4ac+bc = (8a²-4ac) - (2ab-bc) = 4a(2a-c) - b(2a-c) = (2a-c)(4a-b)

5) 2b³-7b²c-4b+14c = (2b-7c)(b²+2c)

6) 6x∧5 + 4x²y² - 9x³y-6y³ = (6x∧5 + 4x²y²) - (9x³y + 6y³) = 2x²(3x³ + 2y²) - 3y(3x³ + 2y²) = (3x³ + 2y²)(2x² - 3y)