How do you multiply (3xy^5)(-6x^4y^2)(3xy5)(−6x4y2)?
1 Answer
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
33 and-6−6 . Be careful and always remember to take the negative sign. Multiplying them, we have:
(3)*(-6)=-18(3)⋅(−6)=−18 -
Now, let's take the second pair of like terms: with the variable
xx .
Multiplyingxx withx^4x4 , we have:
(x)*(x^4)=x^5(x)⋅(x4)=x5
Remember, that when the bases are equal, powers can be added up! So,(x)*(x^4)=(x^1)*(x^4)=x^(1+4)=x^5(x)⋅(x4)=(x1)⋅(x4)=x1+4=x5 -
Now, multiplying the third pair: with the variable
yy .
Multiplyingy^5y5 withy^2y2 , we have:
(y^5)*(y^2)=y^(5+2)=y^7(y5)⋅(y2)=y5+2=y7
Thus, by multiplying all three products, we get: