1
I couldn’t make my homework.
I couldn’t do my homework.
Use do homework, not make homework.
Check our grammar lesson on the difference between do and make.
2
We have to do a lot of homeworks.
We have to do a lot of homework.
Homework is an uncountable noun. Do not say a homework or homeworks.
To count individual tasks, use a piece of homework: ‘I have an important piece of homework to do.’
3
I hate doing homework, especially ironing.
I hate doing housework, especially ironing.
Homework is work that students do for school or college.
Housework is work such as cleaning, washing and ironing that you do to keep your home clean and tidy.