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Simplify 4(x + y) - 3(2x + 7y)
Use the distributive property on each term to get
4x + 4y - 6x - 21y.
Then combine like terms to get
- 2x - 17y.
Simplify 3[x + y(x - 2) + 4y]
First way: Work from the outside in. Distribute the 3 to get
3x + 3y(x - 2) + 12y.
Then distribute the 3y to get
3x + 6xy - 6y + 12y.
Finally, combine like terms to get
3x + 6xy + 6y.
Second way: Work from the inside out. Distribute the y to get
3[x + xy - 2y + 4y].
Combine like terms to get
3[x + xy + 2y]
and finally, use the distributive property once again to get
3x + 3xy + 6y.
We get the same answer either way. Kind of like when you first try nicely asking your parents if they can buy you an iPhone, and then you try demanding it. Either way, you ain't getting an iPhone.