Question

factorise (2x+3y)²-5(2x+3y)-14​

Answer 1

Step-by-step explanation:

see the attached document

Answer 2

Step-by-step explanation:

$(2x + 3y) {}^{2} - 5(2x + 3y) - 14 \\ lets \: (2x + 3y) = p \\ = p {}^{2} - 5p - 14 \\ = p {}^{2} - (7 - 2)p - 14 \\ = p {}^{2} - 7p + 2p - 14 \\ = p(p - 7) + 2(p - 7) \\ = (p - 7)(p + 2) \\ p = (2x + 3y) \: input \\ = (2x + 3y - 7)(2x + 3y + 2)$