Question

49x³ - 16xy²

Explanation:

Step1: Factor out common term

$49x^3 - 16xy^2 = x(49x^2 - 16y^2)$

Step2: Recognize difference of squares

$49x^2 - 16y^2 = (7x)^2 - (4y)^2$

Step3: Apply difference of squares formula

$(7x)^2 - (4y)^2 = (7x-4y)(7x+4y)$

Step4: Combine all factors

$x(7x-4y)(7x+4y)$

Answer:

$x(7x - 4y)(7x + 4y)$