Rút gọn biểu thức (2x + 3y)2 + (3x – 2y)2 – 2(2x + 3y)(3x – 2y).
Giải thích
Ta có (2x + 3y)2 + (3x – 2y)2 – 2(2x + 3y)(3x – 2y).
= (2x + 3y)2 – 2(2x + 3y)(3x – 2y) + (3x – 2y)2.
= (2x + 3y – 3x + 2y)2.
= (5y – x)2.
Ta có (2x + 3y)2 + (3x – 2y)2 – 2(2x + 3y)(3x – 2y).
= (2x + 3y)2 – 2(2x + 3y)(3x – 2y) + (3x – 2y)2.
= (2x + 3y – 3x + 2y)2.
= (5y – x)2.