How do you multiply (3xy5)(6x4y2)?

1 Answer
Oct 26, 2014

Multiplication is fairly simple: all you need to do is multiply the like terms first and multiply your products.

  1. First, let's take the constants (the numbers). The two numbers are 3 and 6. Be careful and always remember to take the negative sign. Multiplying them, we have:
    (3)(6)=18

  2. Now, let's take the second pair of like terms: with the variable x.
    Multiplying x with x4, we have:
    (x)(x4)=x5
    Remember, that when the bases are equal, powers can be added up! So, (x)(x4)=(x1)(x4)=x1+4=x5

  3. Now, multiplying the third pair: with the variable y.
    Multiplying y5 with y2, we have:
    (y5)(y2)=y5+2=y7

Thus, by multiplying all three products, we get:
(18)(x5)(y7)=18x5y7