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.
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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 -
Now, let's take the second pair of like terms: with the variable
x .
Multiplyingx withx4 , 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 -
Now, multiplying the third pair: with the variable
y .
Multiplyingy5 withy2 , we have:
(y5)⋅(y2)=y5+2=y7
Thus, by multiplying all three products, we get: