Answered

Connect with knowledgeable individuals and find the best answers at IDNLearn.com. Discover comprehensive answers to your questions from our community of knowledgeable experts.

Simplify: [tex]\left(-8p^3 - 11p^2q \right) + \left(pq^2 - 5q^3 \right) - \left(-6p^2q + pq^2 \right)[/tex].

Provide your answer below:

Sagot :

MathTutorsidn

Answer: -8p³-5q³-5p²q

Step-by-step explanation:

To make sure the expression is simplified, all like terms are combined. Meaning, there shouldn't be a repeat of the same variable.

[tex](-8p^3-11p^2q)+(pq^2-5q^3)-(-6p^2q+pq^2)[/tex]     [distribute negative to last expression]

[tex](-8p^3-11p^2q)+(pq^2-5q^3)+(6p^2q-pq^2)[/tex]        [find like terms]

[tex]-8p^3-5q^3+(-11p^2q+6p^2q)+(pq^2-pq^2)[/tex]        [combine like terms]

[tex]-8p^3-5q^3-5p^2q[/tex]

Therefore, the simplified expression is [tex]-8p^3-5q^3-5p^2q[/tex].

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.