Question

b. 4x^2 +16xy+15y^2​

Answer 1

Answer:

(2x+3y)(2x+5y)

Step-by-step explanation:

$4 {x}^{2} + 16xy + 15 {y}^{2} \\ {(2x)}^{2} + 2 \times (2x) \times (4y) + {(4y)}^{2} + 15 {y}^{2} - {(4y)}^{2} \\{ (2x + 4y) }^{2} + 15 {y}^{2} - 16 {y}^{2} \\ {(2x + 4y)}^{2} - {y}^{2} \\ (2x + 4y + y)(2x + 4y - y) \\ (2x + 5y)(2x +3 y)$