Question

Simplify. -5x^4(-3x^2+-4x-2)

Answer 1

The simplified expression is $15 x^{6}+20 x^{5}+10 x^{4}$

Explanation:

Given that the expression is $-5 x^{4}\left(-3 x^{2}-4 x-2\right)$

We need to determine the simplify the expression.

Let us multiply each term within the parenthesis by the term $-5 x^{4}$

Thus, we have,

$\left(-5 x^{4}\right)\left(-3 x^{2}\right)+\left(-5 x^{4}\right)(-4 x)+\left(-5 x^{4}\right)(-2)$

Applying the rule, $(-a)(-b)=a b$ in the above expression, we get,

$\left(5 x^{4}\right)\left(3 x^{2}\right)+\left(5 x^{4}\right)(4 x)+\left(5 x^{4}\right)(2)$

Let us simplify by multiplying the terms.

Thus, we get,

$15 x^{6}+20 x^{5}+10 x^{4}$

Hence, the simplified expression is $15 x^{6}+20 x^{5}+10 x^{4}$