Question

Subtract (−5r2−6rs+6s2) from (6r2+9rs−10s2) and simplify.

Answer 1

Answer: Hope this helps you understand!

Step-by-step explanation:

Let's simplify step-by-step.

−5r2−6rs+6s2−(6r2+9rs−10s2)

Distribute the Negative Sign:

=−5r2−6rs+6s2+−1(6r2+9rs−10s2)

=−5r2+−6rs+6s2+−1(6r2)+−1(9rs)+−1(−10s2)

=−5r2+−6rs+6s2+−6r2+−9rs+10s2

Combine Like Terms:

=−5r2+−6rs+6s2+−6r2+−9rs+10s2

=(−5r2+−6r2)+(−6rs+−9rs)+(6s2+10s2)

ANSWER:

=−11r2+−15rs+16s2

Answer 2

11r^2+15rs−16s^2

Explanation:

Use the distributive property.

(6r^2+9rs−10s^2)−(−5r^2−6rs+6s^2)

6r^2+9rs−10s^2+5r^2+6rs−6s^2

Use the commutative property to combine like terms, then simplify.

6r^2+9rs−10s^2+5r^2+6rs−6s^2

6r^2+5r^2+9rs+6rs−10s^2−6s^2

11r^2+15rs−16s^2