Question

因式分解16(a-b)^2+24(b^2-a^2)+9(a+b)^2

Answer 1

16(a-b)^2+24(b^2-a^2)+9(a+b)^2

=[4(a-b)]²-2×4(a-b)×3(a+b)+[3(a+b)]²

=[4(a-b)-3(a+b)]²

=(4a-4b-3a-3b)²

=(a-7b)²