Find the product/quotient of the following polynomials.A. Multiplication1. (6a) (5a + 2)2. (- 9x ^ 2 * y)(3xy - 2x)3. (4) (- 6c - 2d)4. (- 7c ^ 2 * d ^ 2)(- 4cd + 6c * d ^ 3 - 2d)5. (- x * yz)(- 6xy + 2x ^ 2 * y ^ 2 * z - 4x * y ^ 2)
Answer (1)
1. (6a)(5a + 2) = 6a × 5a + 6a × 2 = 30a² + 12a2. (-9x²y)(3xy - 2x) = -9x²y × 3xy + (-9x²y) × (-2x) = -27x³y² + 18x³y3. (4)(-6c - 2d) = 4 × -6c + 4 × -2d = -24c - 8d4. (-7c²d²)(-4cd + 6cd³ - 2d) = -7c²d² × -4cd + (-7c²d²) × 6cd³ + (-7c²d²) × -2d = 28c³d³ - 42c³d⁵ + 14c²d³5. (-xyz)(-6xy + 2x²y²z - 4xy²) = -xyz × -6xy + (-xyz) × 2x²y²z + (-xyz) × -4xy² = 6x²y²z + (-2x³y³z²) + 4x²y³z = 6x²y²z - 2x³y³z² + 4x²y³z
