Use the distributive property to remove the parentheses, simplify.

Mathematics

2 answers:

Nookie1986 [14]2 years ago

8 0

Hi again :)

5b^3(4 - 9b^2)

Use the distributive property

=(5b^3)(4) + (5b^3)(-9b^2)

= 20b^3 - 45b^5

= -45b^5 + 20b^3

Have a nice day!

Neko [114]2 years ago

6 0

Hello! And thank you for your question!

Distribute:

5b^3 x 4 + 5b^3 x - 9b^2

Simplify 5b^3 x 4:

20b^3 + 5b^3 x -9b^2

Take out the constants:

20b^3 + (5 x -9)b^3b^2

Simplify 5 x -9:

20b^3 - 45b^3b^2

Use Product Rule:

20b^3 - 45b^3+2

Simplify 3 + 2:

20b^3 - 45b^5

Final Answer:

20b³ - 45b⁵

You might be interested in

Determine the x-intercept and the y-intercept for the graph of this equation:<br> 2x - 3y + 36 = 0

natali 33 [55]

QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.

EQUATION:- 2x - 3y + 36 = 0

STANDARD EQUATION:- y=mx+c

where

m-> slope.
c-> Y-INTERCEPT
x&y are the coordinates.

SO GIVEN EQUATION:- 2x - 3y + 36 = 0

WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION

$2x - 3y + 36 = 0 \\ 2x + 36 =3y \\ y = \frac{2}{3} x + \frac{36}{3} \\ y = \frac{2}{3} x + \frac{ \cancel{36}^{ \: \: 12} }{ \cancel3} \\ y = \frac{2}{3} x + 12 \\$

SO :-

$m = \frac{2}{3} \\ y - intercept = 12 \: ans$

$slope = \frac{y2 - y1}{x2 - x1} \\ \frac{2}{3} = \frac{0 - 12}{x - 0} \\ 2x = ( - 12) \times 3 \\ x = \frac{ - \cancel{12}^{ \: \: 6} \times 3 }{ \cancel{2}} \\ x = - 18 \: \: ans$