Question

What is the product? (X^4)(3x^3-2)(4x^2+5x)

Answer 1

Given expression:
`(x^4)(3x^3-2)(4x^2+5x)`.

We need to simplify the given expression by multiplying.

`\mathrm{Expand}\:\left(3x^3-2\right)\left(4x^2+5x\right):\quad 12x^5+15x^4-8x^2-10x`

`=\left(x^4\right)\left(12x^5+15x^4-8x^2-10x\right)`

`\left(x^4\right)\left(12x^5+15x^4-8x^2-10x\right):\quad 12x^9+15x^8-8x^6-10x^5`

`=12x^9+15x^8-8x^6-10x^5`

Therefore,
`\left(x^4\right)\left(3x^3-2\right)\left(4x^2+5x\right)=\quad 12x^9+15x^8-8x^6-10x^5.`.

Answer 2

`12x^9+15x^8-8x^6-10x^5`

Explanation:

We have to find the product:

`x^4* (3x^3-2)* (4x^2+5x)\\\\= x^4* (3x^3(4x^2+5x)-2(4x^2+5x))\\\\=x^4*(12x^5+15x^4-8x^2-10x)\\\\=12x^9+15x^8-8x^6-10x^5`