Show that(i) (3x + 7)2− 84x = (3x − 7)2 (ii) (9p− 5q)2 + 180pq

1.	Show that(i) (3x + 7)2− 84x = (3x − 7)2 (ii) (9p− 5q)2 + 180pq = (9p + 5q)2(iii) (iv) (4pq + 3q)2− (4pq − 3q)2 = 48pq2(v) (a −b) (a + b) + (b − c) (b+ c) + (c − a) (c + a) = 0
Answer» Show that (i) (3x + 7)² − 84x = (3x − 7)²(ii) (9p − 5q)² + 180pq = (9p + 5q)² (iii) (iv) (4pq + 3q)²− (4pq − 3q)² = 48pq² (v) (a − b) (a + b) + (b − c) (b + c) + (c − a) (c + a) = 0

Show that(i) (3x + 7)2− 84x = (3x − 7)2 (ii) (9p− 5q)2 + 180pq = (9p + 5q)2(iii) (iv) (4pq + 3q)2− (4pq − 3q)2 = 48pq2(v) (a −b) (a + b) + (b − c) (b+ c) + (c − a) (c + a) = 0

Answer»

Show that

(i) (3x + 7)²
− 84x = (3x − 7)²(ii) (9p
− 5q)² + 180pq = (9p + 5q)²

(iii)

(iv) (4pq + 3q)²− (4pq − 3q)² = 48pq²

(v) (a −
b) (a + b) + (b − c) (b
+ c) + (c − a) (c + a) = 0