FACTORIZE
1) x2 - y2 - 4xz + 4z2
2) 343p3 - 64q3 - 125p3q6- 420p2q3
1)
x2 – y2 – 4xz + 4z2
= x2 – 4xz + 4z2– y2
= (x – 2z)2– y2
= (x – 2z – y) (x – 2z +y)
2)
343p3 – 64q3 – 125p3q6– 420p2q3
= (7p)3 – (4q)3 – (5pq2)3 – 3(7p × 4q × 5pq2)
= (7p – 4q – 5pq2) {(7p)2 + (–4q)2 + (–5pq2)2 – (7p)(–4q) – (–4q)(–5pq2) – (–5pq2)(7p)}
= (7p – 4q – 5pq2) {49p2 + 16q2 + 25p2q4 + 28pq – 20 pq3 + 35p2q2}