Question

Multiply and then verify :
−3x²y² and (x – 2y) for x = 1 and y = 2.

Answer 1

(−3x²y²) × (x – 2y)

= (−3x²y²) × (x) − (−3x²y²)(2y)

= −3x²y² + 6x²y³

= 6x²y³ − 3x³y²

For x = 1 and y = 2

(−3x²y²) × (x – 2y)

= (−3 × 1² × 2²) × (1 − 2 × 2)

= (6 × 1 × 8) − (3 × 1 × 4)

= 48 − 12

= 36 

∴ For x = 1 and y = 2, it is verified that,

(−3x²y²) × (x – 2y)

= 6x²y³ − 3x³y²