Question

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

Answer 1

Answer:

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

Step-by-step explanation:

We have to find the product:

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

Answer 2

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