Question

Multiply -4xy³ and 6x²y and verify your result for x = 2 and y= 1.

Answer 1

(−4xy³) × (6x²y) = (−4 × 6) (x x x²) (y³ x y)

= −24x³y⁴
For x = 2 and y = 1

(−4xy³) × (6x²y) = (−4 × 2 × 1³) × (6 × 2² × 1)

= (−8) × 24 = −192

And, −24x³y⁴ = −24 × 2³ × 1⁴

= −24 × 8 × 1 = −192

∴ For x = 2 and y = 1, it is verified that
(−4xy³) × (6x²y) = −24x³y⁴