How do you simplify #-5q^2w^3(4q+7w)+4qw^2(7q^2w+2q)-3qw(3q^2w^2+9)#?
1 Answer
1) Clear the parentheses by distributing the coefficients.
2) Combine like terms.
Answer:
Explanation:
1) Clear the parentheses by distributing the coefficients
Until you have distributed, you can't really see
what the terms actually are.
Distributing one term at a time gives you this:
First term
Distribute the coefficient to get this
~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Second term
Distribute the coefficient to get this
~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Third term
Distribute the coefficient to get this
~ ~ ~ ~ ~ ~ ~ ~ ~ ~
2) Combine like terms
Put the terms together by first grouping these three like terms
These like terms add up like this
~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Now you can write the entire expression
~ ~ ~ ~ ~ ~ ~ ~ ~ ~
You can factor this a little if you want, but I don't know if you'd consider that
more or less simplified