How do you multiply (3xy5)(−6x4y2)?

Question

Pierce Carey · Accepted Answer

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:ultiply the like terms first and multiply your products.
(3)*(-6)=-18
2.Now, let's take the second pair of like terms: with the variable x.
Multiplying x with

x^{4}

, we have:

(x) \cdot (x^{4}) = x^{5}

Remember, that when the bases are equal, powers can be added up! So,

(x) \cdot (x^{4}) = (x^{1}) \cdot (x^{4}) = x^{1 + 4} = x^{5}

3. Now, multiplying the third pair: with the variable y.
Multiplying

y^{5}

with

y^{2}

, we have:

(y^{5}) \cdot (y^{2}) = y^{5 + 2} = y^{7}

Thus, by multiplying all three products, we get:

(- 18) (x^{5}) (y^{7}) = - 18 x^{5} y^{7}

How do you multiply (3xy^{5})(-6x^{4}y^{2})?

Answered question

Answer & Explanation

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