Simplifying radical expression p − 4 q 3 q 2 + 4 p q + p 2 ⋅ p + 3 q p 2 + 6 p q + 8 q 2 ÷ 1 p 2 + 3 p q + 2 q 2 Problem: p − 4 q 3 q 2 + 4 p q + p 2 ⋅ p + 3 q p 2 + 6 p q + 8 q 2 ÷ 1 p 2 + 3 p q + 2 q 2 My try: p − 4 q 3 p + q p + q ⋅ p + 3 q p + 4 q p + 2 q ⋅ p + 2 q p + q 1 = p − 4 q p + 3 q 3 p + q p + 4 q = p 2 − p q − 12 q 3 p 2 + 13 p q + 4 q 2 How do I continue?

Question

Simplifying radical expression             p      −      4      q              3              q        2            +      4      p      q      +              p        2              ⋅            p      +      3      q                      p        2            +      6      p      q      +      8              q        2              ÷      1                  p        2            +      3      p      q      +      2              q        2            Problem:                    p        −        4        q                    3                  q          2                +        4        p        q        +                  p          2                      ⋅                    p        +        3        q                              p          2                +        6        p        q        +        8                  q          2                      ÷            1                        p          2                +        3        p        q        +        2                  q          2                    My try:                    p        −        4        q                              3          p          +          q                          p          +          q                      ⋅                    p        +        3        q                              p          +          4          q                          p          +          2          q                      ⋅                              p          +          2          q                          p          +          q                    1        =                              p          −          4          q                                  p          +          3          q                                      3          p          +          q                                  p          +          4          q                      =                              p          2                −        p        q        −        12        q                    3                  p          2                +        13        p        q        +        4                  q          2                    How do I continue?

Leland Ochoa · Accepted Answer

Based on the problem as you&#039;ve (and I&#039;ve) corrected it, you failed to mind your   ps and   qs. It should have been            p      −      4      q                                3          q          +          p                            p        +        q              ⋅            p      +      3      q                      p        +        4        q                    p        +        2        q              ⋅                    p        +        2        q                    p        +        q              1    =            p      −      4      q              p      +      4      q        =                    p        −        4        q                    p        +        4        q                            p        +        4        q                    p        +        4        q              =                    p        2            −      16              q        2                            |            p      +      4      q              |              .

Simplifying radical expression <msqrt> p − 4

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