You can
put this solution on YOUR website!
x³ - 49xy²
The smallest power of a letter that appears in both terms is x
So we factor it out:
x(x² - 49y²)
The parentheses contains the difference of two squares and can be
written this way:
x[(x)² - (7y)²]
Then the bracketed expression can be factored (or as you say "factorised")
as the product of the difference and the sum of the square roots:
x[(x - 7y)(x + 7y)]
And we don't need the brackets anymore.
x(x - 7y)(x + 7y)
Edwin