How do you multiply $6x^2(-2x^2+5x-30)$ ?

Question

2162 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-03T15:59:24

See a solution process below:

Multiply each term within the parenthesis by the term outside the parenthesis:

$color(red)(6x^2)(-2x^2 + 5x - 30) =>$

$(color(red)(6x^2) xx -2x^2) + (color(red)(6x^2) xx 5x) - (color(red)(6x^2) xx 30)$

Use this rule of exponents to multiply the variables in the individual terms:

$x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))$

$-12x^4 + 30x^3 - 180x^2$

Answer 2 · 2017-07-03T16:00:27

You distribute the $6x^2$ throughout the polynomial.

$6x^2 * (-2x^2) = -12x^4$

$6x^2 * 5x = 30x^3$

$6x^2 * (-30) = -180x^2$

So, your answer is

$-12x^4 + 30x^3 - 180x^2$

How do you multiply 6x^2(-2x^2+5x-30)6x^2(-2x^2+5x-30)?