simplify:

PREVIOUSLY << ALL PRIME NUMBERS LESS THAN TEN ARE ARRANGED IN DESCENDING ORDER TO FORM A NUMBER.

SIMPLIFY:

\[\large \frac{p^{2}+2pq+q^{2}}{p^{3}-pq^{2}+p^{2}q-q^{3}}\]

STEP 1: FACTORIZE THE NOMINATOR AND DENOMINATOR

\[\large \frac{(p+q)(p+q)}{p(p^{2}-q^{2})+q(p^{2}-q^{2})}\]

\[\large \frac{(p+q)(p+q)}{(p+q)(p+q)(p-q)}\]

Step 2: do the cancellation;

\[\large \frac{1}{(p-q)}\]

More resources on;

1. algebra

next >> In the figure below, ABCDE is a regular pentagon and ABF is an equilateral triangle.