Answer:
[tex](4x^{2} -3y^{3} )[/tex]
Step-by-step explanation:
This is our starting equation:
[tex]56x^{4}y^{3}-42x^{2}y^{6}[/tex]
We then factor out the known factor:
[tex]14x^{2}y^{3}(4x^{2}-3y^{3})[/tex]
And are left with our answer in parentheses:
[tex](4x^{2} -3y^{3} )[/tex]