1.

Factorise fast plz ​

Answer»

Answer:

\BEGIN{gathered}p {q}^{4} - p(p - q) ^{4} \\ = p( {q}^{4} - (p - q) ^{4} ) \\ = p( {q}^{2} + (p - q) ^{2} )( {q}^{2} - (p - q) ^{2} )\\ = p( {q}^{2} + {p}^{2} + {q}^{2} - 2PQ)(q + p - q)(q - p + q) \\ = p(2 {q}^{2} + {p}^{2} - 2pq)(p)(2Q - p) \\ = {p}^{2} (2 {q}^{2} + {p}^{2} - 2pq)(2q - p) \end{gathered}

pq

4

−p(p−q)

4

=p(q

4

−(p−q)

4

)

=p(q

2

+(p−q)

2

)(q

2

−(p−q)

2

)

=p(q

2

+p

2

+q

2

−2pq)(q+p−q)(q−p+q)

=p(2q

2

+p

2

−2pq)(p)(2q−p)

=p

2

(2q

2

+p

2

−2pq)(2q−p)

This is your answer.༎ຶ‿༎ຶ


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