Perform the indicated operations. -2x^3(x^4-8)

Question

Accepted Answer

Hello today we're going to be finding the product of the given expression. So what we are given is negative 31 X. To the seventh times the quantity X to the fifth plus two. Now in order to find this product we're going to have to distribute negative 31 X. To the seventh to the quantity X to the fifth plus two. So what that means is let's go ahead and multiply negative 31 X to the seventh with X to the fifth. So we have negative 31 X to the seventh times X to the fifth. And using a rule for multiplication of exponents, What this turns into is negative 31 times X. To the power of seven plus five and X to the power of seven plus five is going to give us X to the 12th. So what we are left with is negative 31 X to the 12th. Now let's multiply negative 31 X. To the seventh with positive two. So in order to multiply these values together, we're just gonna multiply negative 31 2 together and negative 31 times two is going to give us negative 62. So this is going to give us negative 62 X to the seventh. And once we put the terms together distributing negative 31 X to the seventh with X to the fifth plus two is going to give us the quantity negative 31 X to the 12th minus 62 X squared. And this is going to be the product of the given expression. And with that being said, the answer to this problem is going to be be so. I hope this video helps you in understanding how to approach this problem, and I'll go ahead and see you all in the next video.

Struggling with College Algebra?

Perform the indicated operations. -2x^3(x^4-8)

Watch next

Polynomials Intro practice set