Question

(2x – 3y) (3x + y) + (x + 2y) (x – y)​

Answer 1

Answer:

$(6x {}^{2} + 2xy - 9xy - 3y {}^{2}) + (x {}^{2} - xy + 2xy - 2y {}^{2}) \\ 6x {}^{2} - 7xy - 3y {}^{2} + x {}^{2} + xy - 2y {}^{2} \\ 7x {}^{2} - 6xy - 5y {}^{2}$

Answer 2

$(2x - 3y)(3x + y) + (x + 2y)(x - y) \\ \\ \: in \: the \: place \: of \: (y) \: we \: can \: take \: (x) \\ (2x - 3x)(3x + x) + (x + 2y)(x - x) \\ \\ 1x + 3x + 2x + x \\ \\ 4x + 2x + x \\ \\ 6x + x \\ 6 = {x}^{2} \\ \\ {x}^{2} = 6 \\ \\ 2x = 6 \\ \\ x = \frac{6}{2} = 3x \\ \\ = \: 3x \: is \: the \: correct \: answer$