Question

Factorise the expressions and divide them as directed - 16mn ( 18m^2 - 32n^2 ) ÷ 6m (3mn - 4n^2)

Answer 1

16mn ( 18m² - 32n² ) ÷ 6m (3mn - 4n²)  = 16(3m + 4n)/3

Step-by-step explanation:

16mn ( 18m² - 32n²)

= 16mn * 2( 9m² - 16n²)

= 32mn ( (3m)² - (4n)²)

= 32mn ( 3m + 4n)(3m - 4n)

6m (3mn - 4n²)

= 6mn(3m - 4n)

$\frac{32mn ( 3m + 4n)(3m - 4n)}{ 6mn(3m - 4n)}$

Cancelling  mn(3m - 4n)

$\frac{32 ( 3m + 4n)}{6}$

$\frac{16 ( 3m + 4n)}{3}$

= 16(3m + 4n)/3

16mn ( 18m² - 32n² ) ÷ 6m (3mn - 4n²)  = 16(3m + 4n)/3

Learn More

Factorise

https://brainly.in/question/13142738

Factorise , Please solve

https://brainly.in/question/9700844

Answer 2

16mn(18m²- 32n²) ÷ 6m (3mn - 4n²)

step by step explanations: