Question

Factorise 2x3 - 16y3​

Answer 1

Answer:

$(2 {x})^{3} - (16{y})^{3} \\ (2x - 16y {)}^{3} \\ identity \: \: to \: \: be \: \: used \: \: is \: \\ (x - y {)}^{3} = {x}^{3} - {y}^{3} - 3xy(x - y) \\ (2x - 16y {)}^{3} = (2x {)}^{3} - (16y {)}^{3} - 3 \times 2x \times 16y(2x - 16y) \\ = 8 {x}^{3} - 4096 {y}^{3} - 96xy(2x - 16y) \\ = 8 {x}^{3} - 4096 {y}^{3} - 192 {x}^{2} y + 1536x {y}^{2} \\ \: answer$

I hope it will help you