DISTRIBUTE EXPONENTS

Question

2x²Y(3xy+5xy²-7)

Answer 1

Multiply the term outside the parentheses by every term inside the parentheses.

 

So, multiply 2x²y times 3xy.  Think of these as having individual factors, in this case:

2 and x² and y for the first term, and 

3 and x and y for the second term

 

Multiply the like factors together:

2 times 3

x² times x, and 

y times y

 

Remember that repeated multiplication of any number or factor can be simplified by writing the # of "times" you're multiplying as the exponent.  For example, x⁴ times x would be like saying

x times x times x times x (that's four times) ... then times that other single x

which would make x⁵ 

 

That should get you started on this one.  Good Luck, and remember Strength in Numbers, my friend!