Question

simplify

-6x2-8y3+2x2-5y3

a. -4x2+13y3
b.-4x2-13y3
c.-4x2+12y3
d.4x2-13y3

Answer 1

B

Answer 2

add the terms which have the same symbol
-4 -13

Answer 3

didn't you already post this one?

Answer 4

-6x2 + 2x2 = -4x2
-8y3 - 5y3 = -13y3
so final = -4x2-13y3

Answer 5

b is correct

Answer 6

thanks y'all

Answer 7

@Raven_Draeving You are posting questions with the same idea.
it would be better if you understand the concept and do the others on your own.

Answer 8

NP, happy to help ^^

Answer 9

Step 1 :

Simplify \[-4x^2-8y^3 - 5y^3\]
Pull out like terms:
\[ -4x^2 - 13y^3 = -1 • (4x^2 + 13y^3) \]
Factor: 4x2 + 13y3

Theory : A sum of two perfect cubes, \[a^3 + b^3\] can be factored into :
\[ (a+b) • (a^2-ab+b^2)\]
Check:
\[(a+b) • (a^2-ab+b^2)\]
\[ a^3-a^2b+ab^2+ba^2-b^2a+b^3 \]
\[a^3+(a^2b-ba^2)+(ab^2-b^2a)+b^3\]
\[ a^3+0+0+b^3=\]
\[ a^3+b^3\]
Check : 4 is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes


Answer :
\[ -1 • (4x^2 + 13y^3)\]
Which Simplifies to:
\[-4x^2-13y^3\]