Question

1. (a) Find the greatest common divisor of the term 144x3y2and 81xy4

(b) Hence factorise completely this expression 144x3y2-81xy4​

Answer 1

Explanation:

a) 144x³y² = 2 *2*2*2* 3* 3* x³ * y² = 2⁴ * 3² * x³ * y²

81xy⁴ = 3 * 3 * 3 * 3 * x * y⁴ = 3⁴ * x * y³

GCD is that are in both term

Greatest common divisor = 3² * x * y² = 9xy²

b) 144x³y² - 81xy⁴ = 9xy² * 16x²y - 9xy²*9y²

= 9xy²(16x²y - 9y²)