Answer:
Last option:
![8x^4-32x^3+24x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bpgc787br2p8mtcf7wprbpx6qizjcwccl5.png)
Explanation:
Given the expression
, you need to remember the Product of powers property, which states the following:
![(a^m)(a^n)=a^((m+n))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dq85haazi4mfq0uz6k0f50r5ielqa8p35c.png)
Knowing this, you can apply the Distributive property. Therefore, you get:
![(4x^2)(2x^2)-(8x)(4x^2) +(6)(4x^2)=8x^((2+2))-32x^((1+2))+24x^2=8x^4-32x^3+24x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kst3nmx9uul6v7s948j9srq8aa62j42y7i.png)
You can observe that this matches with the las option.