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olasank [31]
3 years ago
9

What is the product (3a2b4)(-8ab3)

Mathematics
1 answer:
Serggg [28]3 years ago
8 0

<u>Answer:</u>

-24a^3b^7

<u>Step-by-step explanation:</u>

We are given the following expression and we are to find its product:

(3a^2b^4)(-8ab^3)

Here, we need to recall the the product rule according to which the exponents are added when you multiply two powers that have the same base.

So here the powers of a and b will be added to their powers to give:

(3a^2b^4)(-8ab^3) = -24a^{(2+1)}b^{(4+3)} = -24a^3b^7

Therefore, the product of the given expression is -24a^3b^7.

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Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  3  and  5

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Step-5 : Add up the four terms of step 4 :

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            Which is the desired factorization

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