Question

a. (3a2 + 7b2)2=? b. (4uv + 6uv2)2=? c. (9m2 – 2m2)2=? d.(6x5 – 3ay2)2=?

Answer 1

A. (3a2 + 7b2)2 = (3a2)2 + 2 (3a2) (7b2) + (7b2)2

= 9a4 + 42a2b2 + 49b4

B. (4uv + 6uv2)2 = (4uv)2 + 2 (4uv) (6uv2) + (6uv2)2

= 16u2v2 + 48v2v3 + 36u2v4

C. (9m2 – 2m2)2 = (9m2)2 – 2 (9m2) (2m2) + (2m2)2

= 81m4 – 36m4 + 4m4

= 49m4

D. (6x5 – 3ay2)2 = (6x5)2 – 2 (6x5) (3ay2) + (3ay2)2

= 36x10 – 36ax5y2 + 9a2y4